# N factorial is

Number Theory Level 2

$$n$$ is a positive integer such that

$$n!$$=$${\quad2}^{15}$$$${\times\quad 3}^{ 6 }$$$${\times\quad 5}^{3}$$$${\times\quad 7}^{2}$$$${\times\quad11\times13}$$

What is the value of $$n$$

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