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13131326464 = 21035812
BaseRepresentation
bin11000011101011000…
…00010010000000000
31020220010220111111121
430032230002100000
5203343104421324
610011001522024
7643256301424
oct141654022000
936803814447
1013131326464
115629322a23
1226657a3314
131313663179
148c7d92b84
1551cc435e4
hex30eb02400

13131326464 has 33 divisors (see below), whose sum is σ = 26257161721. Its totient is φ = 6563829760.

The previous prime is 13131326459. The next prime is 13131326503. The reversal of 13131326464 is 46462313131.

The square root of 13131326464 is 114592.

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

It can be written as a sum of positive squares in only one way, i.e., 11705508864 + 1425817600 = 108192^2 + 37760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3665154 + ... + 3668734.

Almost surely, 213131326464 is an apocalyptic number.

13131326464 is the 114592-nd square number.

It is an amenable number.

13131326464 is a deficient number, since it is larger than the sum of its proper divisors (13125835257).

13131326464 is an frugal number, since it uses more digits than its factorization.

13131326464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182 (or 3583 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

Adding to 13131326464 its reverse (46462313131), we get a palindrome (59593639595).

The spelling of 13131326464 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 3581 7162 14324 28648 57296 114592 229184 458368 916736 1833472 3666944 12823561 25647122 51294244 102588488 205176976 410353952 820707904 1641415808 3282831616 6565663232 13131326464