Anyone know how much power these stations run?
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Anywhere from 250 to 2000kW. That's right, up to
2,000,000 watts! Here is one list, one of several that can be found on your search engine of choice:
Euro-African Medium Wave Guide Online edition - Longwave latest update: 15 January 2009
http://www.hermanboel.be/emwg/online-lw.htm
As far as receiving these stations, there are a few DXers that have stateside, check out the "LW Message Center" at
www.lwca.org, usually under a topic such as "LWBC",
there is one DXer in Michigan and another in the Twin Cities, Minnesota that are hearing the European and North African LW stations from time to time (mostly in the
fall, winter and spring), between our local sunset and European/North African local sunrise.
Best I have have ever heard from Europe was on Medium Wave 1134 from Croatia and 1314 from Norway in 2006 (unfortunately the Norway station has
since been decommissioned, that is, taken off the air). Have never heard LW Broadcast stations from Europe or North Africa - yet.
I heard both of the MW stations above on a Sony ICF-SW7600GR with no external antenna! One of the Michigan 'posters' on lwca.org says he receives LW from Europe
with a Zenith Transoceanic with only the built-in ferrite bar antenna! Some LW DXers setups include what is called an "Active Antenna" or they use a Box Loop, but I
don't recall any of these DXers using a "Beverage Antenna" for Long Wave, rather a Beverage is used by MW DXers trying to hear stations on other continents (!) And
usually in remote areas far, far away from high powered stations!