I suspect digital willy-waving. I've seen that happen loads of times.
Speed is not vital at all. If you get a computer that is 20% slower, it will still work just as well, but will take a bit longer.
You could maybe buy two or three high end laptops and run them together, each doing part of the job, all at the same time. Between them they'd use less than half as much power you claim to need.
I suspect that you are competely wrong, both about the specification of computer you need and a out how much power it will actually consume.
Perhaps you exaggerate the importance of your task, rather than seek to actually find a solution