def solve(x):
    y = x
    f = [0] * 40
    for i in range(2, 40):
        while y % i == 0:
            f[i] += 1
            y //= i
    for i in range(2, 40):
        j = i
        p = q = 1
        for k in range(2, i+1):
            t = 0
            while j % k == 0:
                t += 1
                j //= k
            if t:
                p *= f[k] + 1 + t
                q *= f[k] + 1
        if p == q * 2:
            print(x * i)
            return 
            

n = int(input())
for _ in range(n):
    solve(int(input()))