Problem 500!!!
The number of divisors of $120$ is $16$.
In fact $120$ is the smallest number having $16$ divisors.
Find the smallest number with $2^{500500}$ divisors.
Give your answer modulo $500500507$.
The number of divisors of $120$ is $16$.
In fact $120$ is the smallest number having $16$ divisors.
Find the smallest number with $2^{500500}$ divisors.
Give your answer modulo $500500507$.