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Less Than a Google

Math brain teasers require computations to solve.

 

Puzzle ID:#44108
Fun:*** (2.4)
Difficulty:*** (2.88)
Category:Math
Submitted By:javaguru*us**
Corrected By:javaguru

 

 

 



Before Google was a company, it was a number. A googol is 10^100: a one followed by a hundred zeros.

How many natural numbers less than a googol are both the square of a square and the cube of a cube?


(If N is an integer then N^2 is a square and N^3 is a cube.)

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