# Calculate factorial $$111111_2$$ ?

Number Theory Level pending

Find the trailing number of zeros (in binary representation) of factorial $${111111_2}$$.

Notes:

• The factorial of $$111111 = 111111 \times 111110 \times \cdots \times 000010 \times 1$$.

• $$111111_2$$ means that the number is written in base 2.

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