# Multiplication of Factorials

Algebra Level pending

Let $$N!=1!\cdot 2!\cdot 3!\cdot .....\cdot 10!$$ where $$!$$ is factorial symbol. Let $$k$$ be the greatest power of $$2$$ such that $$N$$ is divisible by $${ 2 }^{ k }$$. Compute $$k$$.

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