# It's trailing zeroes again!

Number Theory Level pending

Let us define the function $$\psi (n)$$ as the number of trailing zeroes in $$n!$$. For example $$\psi (100)=24$$ because the number of trailing zeroes at the end of $$100!$$ is $$24$$.

Problem:

Find the sum of all $$n$$ such that $$\psi (n)=2017$$

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