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13446864431 = 7112131221221
BaseRepresentation
bin11001000010111111…
…01101111000101111
31021201010122111012222
430201133231320233
5210014344130211
610102152545555
7654140314250
oct144137557057
937633574188
1013446864431
11578044a300
1227333b22bb
131363b41420
14917c4cb27
1553a7c11db
hex3217ede2f

13446864431 has 24 divisors (see below), whose sum is σ = 18191322912. Its totient is φ = 9672062400.

The previous prime is 13446864413. The next prime is 13446864437.

13446864431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13446864431 - 222 = 13442670127 is a prime.

It is a super-2 number, since 2×134468644312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13446864437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599600 + ... + 621621.

It is an arithmetic number, because the mean of its divisors is an integer number (757971788).

Almost surely, 213446864431 is an apocalyptic number.

13446864431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13446864431 is a deficient number, since it is larger than the sum of its proper divisors (4744458481).

13446864431 is a wasteful number, since it uses less digits than its factorization.

13446864431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221263 (or 1221252 counting only the distinct ones).

The product of its digits is 663552, while the sum is 44.

The spelling of 13446864431 in words is "thirteen billion, four hundred forty-six million, eight hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 1221221 8548547 13433431 15875873 94034017 111131111 147767741 174634603 1034374187 1222442221 1920980633 13446864431