Question

Dintre numerele 12^36 si 36^12 mai multi divizori are numarul........? va rog e urgent

Answer 1

$12^{36}=(2^2)^{36}\cdot3^{36}=2^{72}\cdot3^{36}$
Are (72+1)*(36+1) = 73*37 = 2701 divizori

$36^{12}=(2^2)^{12}\cdot(3^2)^{12}=2^{24}\cdot3^{24}$
Are (24+1)*(24+1) = 25*25 = 625 divizori

2701>625