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The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example,

\(5! = 5 \times 4 \times 3 \times 2 \times 1 = 120\)

The first value of \(n\) for which it's factorial to contain the number 50 is, \(7\)

\(7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 5040\)

What is the first value of \(n\) for which it's factorial contains the number "082017"?

What is the first value of \(n\) for which it's factorial contains the number "082017"?