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14198628964 = 2213245832
BaseRepresentation
bin11010011100100110…
…11110001001100100
31100122112020002021211
431032103132021210
5213034322111324
610304525521204
71011566232502
oct151623361144
940575202254
1014198628964
116026835103
122903113204
131453806100
14989a1d672
155817bb294
hex34e4de264

14198628964 has 27 divisors (see below), whose sum is σ = 26911853913. Its totient is φ = 6551783472.

The previous prime is 14198628953. The next prime is 14198628971. The reversal of 14198628964 is 46982689141.

The square root of 14198628964 is 119158.

It is a perfect power (a square), and thus also a powerful number.

14198628964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2100388900 + 12098240064 = 45830^2 + 109992^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14198628899 and 14198628908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3095817 + ... + 3100399.

Almost surely, 214198628964 is an apocalyptic number.

14198628964 is the 119158-th square number.

It is an amenable number.

14198628964 is a deficient number, since it is larger than the sum of its proper divisors (12713224949).

14198628964 is an frugal number, since it uses more digits than its factorization.

14198628964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 4598 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 58.

The spelling of 14198628964 in words is "fourteen billion, one hundred ninety-eight million, six hundred twenty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 13 26 52 169 338 676 4583 9166 18332 59579 119158 238316 774527 1549054 3098108 21003889 42007778 84015556 273050557 546101114 1092202228 3549657241 7099314482 14198628964