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Depending on context, this could mean one of two things:

1) 1,729, also known as the "Taxicab Number", i.e. the smallest number that is the sum of two cubes in two different ways, aside from the trivial case of 1.

2) exp(pi*sqrt(163)) = 262,537,412,640,768,743.99999999999925... - the result of an April Fool's Day joke that claimed this number is an integer (which it is not).

* * * * *

Re 1): they need to be be positive cubes, else there are are many smaller solutions.

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Q: Which number is called Ramanujan's number?
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