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Number theory

 
 
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Number theory
by Kelvin Lee - Saturday, June 24, 2017, 12:17 AM
 

For a positive integer k, let z(k) be the number of terminal zeroes of the product 1!2!...k!. For example, z(6)=2 because 1!2!3!4!5!6!=24883200. Compute z(100).