17(!). How many different divisors do the following numbers have:
1) \(2^{7}\);
2) \(5^{4}\);
3) \(2^{7} \cdot 5^{4} ;\)
4) \(2^{m} \cdot 5^{n} \cdot 3^{k}\);
5) 3600
6) \(42^{5}\) ?
17. 5) \((4+1)(2+1)(2+1)=45\) divisors. 6) 216 divisors.