#nullable enable

#region
var _input = Array.Empty<string>();
var _iter = 0;
string String()
{
    while (_iter >= _input.Length) (_input, _iter) = (Console.ReadLine()!.Split(' '), 0);
    return _input[_iter++];
}
T I<T>() where T : IParsable<T> => T.Parse(String(), null);
#endregion

T[] Range<T>(int n, Func<T> F) => Enumerable.Range(0, n).Select(_ => F()).ToArray();

static long Root(long x, int root)
{
    var limits = new long[] { 0, 0, 3037000500L, 2097152, 55109, 6209, 1449, 512, 235, 128, 79, 53, 39 };
    if (x < 0 || root < 2 || root >= limits.Length) throw new Exception("not supported");
    var pass = 0L;
    var fail = limits[root];
    while (fail - pass > 1)
    {
        var middle = (fail + pass) >> 1;
        var next = 1L;
        for (var i = 0; i < root; i++) next *= middle;
        if (next <= x) pass = middle; else fail = middle;
    }
    return pass;
}

int Run()
{
    var n = I<long>();
    var res = 1;
    for (var a = 2; a <= 10; a++)
    {
        var p = 1L;
        var i = 0;
        while (p < n)
        {
            i++;
            p *= a;
            if (p == n) res = Math.Max(res, i);
        }
    }
    for (var i = 2; i <= 12; i++)
    {
        var r = Root(n, i);
        var v = 1L;
        var p = i;
        while (p > 0)
        {
            if ((p & 1) > 0) v *= r;
            r *= r;
            p >>= 1;
        }
        if (v == n) res = Math.Max(res, i);
    }
    return res;
}

string Join<T>(IEnumerable<T> values, bool ws = false) => string.Join(ws ? " " : Environment.NewLine, values);
Console.WriteLine(Join(Range(I<int>(), Run)));