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13476267431 = 112729715263
BaseRepresentation
bin11001000110011111…
…11000010110100111
31021210011222022112222
430203033320112213
5210044411024211
610105123102555
7654645245264
oct144317702647
937704868488
1013476267431
115796002200
122741211a5b
131369c67753
1491bb0426b
1553d17d1db
hex3233f85a7

13476267431 has 12 divisors (see below), whose sum is σ = 14815757376. Its totient is φ = 12248670720.

The previous prime is 13476267397. The next prime is 13476267439.

It is a happy number.

13476267431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13476267431 - 210 = 13476266407 is a prime.

It is a super-2 number, since 2×134762674312 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13476267439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 875306 + ... + 890568.

It is an arithmetic number, because the mean of its divisors is an integer number (1234646448).

Almost surely, 213476267431 is an apocalyptic number.

13476267431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13476267431 is a deficient number, since it is larger than the sum of its proper divisors (1339489945).

13476267431 is a wasteful number, since it uses less digits than its factorization.

13476267431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22582 (or 22571 counting only the distinct ones).

The product of its digits is 508032, while the sum is 44.

The spelling of 13476267431 in words is "thirteen billion, four hundred seventy-six million, two hundred sixty-seven thousand, four hundred thirty-one".

Divisors: 1 11 121 7297 15263 80267 167893 882937 1846823 111374111 1225115221 13476267431