Important: The numtheory package has been deprecated.  Use the superseding command NumberTheory[NumberOfPrimeFactors] instead.

The function bigomega(n) computes the number of prime divisors of the integer n counted with multiplicity.

The command with(numtheory,bigomega) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{numtheory}\right)\:$

$\mathrm{bigomega}\left(1\right)$

$0$

$\mathrm{bigomega}\left(962500\right)$

$9$