from collections import defaultdict


def prime_factorization(n):
    arr = defaultdict(int)
    for i in range(2, int(n**0.5)+1):
        while n % i == 0:
            arr[i] += 1
            n //= i
    if n != 1:
        arr[n] += 1
    return arr


t = int(input())
ans = []
primes = [2, 3, 5, 7, 11, 13, 17, 23, 29, 31]
options = [prime_factorization(i) for i in range(0, 32)]

for i in range(t):
    x = int(input())
    d = defaultdict(int)
    for p in primes:
        temp = x
        while temp % p == 0:
            d[p] += 1
            temp //= p
    for i in range(2, 32):
        xnum = 1
        opnum = 1
        for p in options[i]:
            xnum *= (d[p]+1)
            opnum *= (d[p] + options[i][p] + 1)
        if 2*xnum == opnum:
            break
    print(i*x)