Function: omega
Section: number_theoretical
C-Name: gomega
Prototype: G
Help: omega(x): number of distinct prime divisors of x.
Description:
 (int):small      omega($1)
 (gen):gen        gomega($1)
Doc: number of distinct prime divisors of $|x|$. $x$ must be of type integer.
 \bprog
 ? factor(392)
 %1 =
 [2 3]

 [7 2]

 ? omega(392)
 %2 = 2;  \\ without multiplicity
 ? bigomega(392)
 %3 = 5;  \\ = 3+2, with multiplicity
 @eprog
 The function accepts vector/matrices arguments, and is then applied
 componentwise.
Variant: For a \typ{INT} $x$, the variant
 \fun{long}{omega}{GEN n} is generally easier to use.
