The original Atom used in desktops used 2.5W, with the accompanying chipset using 22W. The new single-core models use 10W with an integrated chipset, so power consumption has gone down a lot with the latest generation.
Regardless of what you decide to get, buy a power supply that has an 80+ certification, as power supplies without them tend to be 60-75% efficient instead of 80-90%. There are now three levels of 80+ (bronze, silver, gold), so it's good to look around to find the best you can get in your price range.
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