D = dict()
for n in reversed(range(2, 40)):
    for a in range(2, 1<<60):
        if 10**12 < a**n:
            break
        if a**n in D:
            continue
        D[a**n] = n

for _ in range(int(input())):
    N = int(input())

    print(D[N] if N in D else 1)