The formula for the exponent of the highest power of prime p dividing n! is ∑npk, but the question is n=1000! (really, it has the factorial) and p=5.
When I use Wolfram Alpha , I panicked because the number has 2,567 decimal digits.
I think if I write this number I'd need paper all the way to the Amazon.
Perhaps I misunderstand the formula?
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