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12533600431 = 115382925933
BaseRepresentation
bin10111010110000111…
…11001000010101111
31012100111011212112101
423223003321002233
5201132100203211
65431410315531
7622410563062
oct135303710257
935314155471
1012533600431
115351988570
122519588ba7
131249882621
1486c83c8d9
154d55245c1
hex2eb0f90af

12533600431 has 16 divisors (see below), whose sum is σ = 13948342560. Its totient is φ = 11165281920.

The previous prime is 12533600369. The next prime is 12533600437. The reversal of 12533600431 is 13400633521.

It is a cyclic number.

It is not a de Polignac number, because 12533600431 - 211 = 12533598383 is a prime.

It is a super-2 number, since 2×125336004312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12533600431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12533600437) 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 15 ways as a sum of consecutive naturals, for example, 470341 + ... + 496273.

It is an arithmetic number, because the mean of its divisors is an integer number (871771410).

Almost surely, 212533600431 is an apocalyptic number.

12533600431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12533600431 is a deficient number, since it is larger than the sum of its proper divisors (1414742129).

12533600431 is a wasteful number, since it uses less digits than its factorization.

12533600431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26826.

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 12533600431 in words is "twelve billion, five hundred thirty-three million, six hundred thousand, four hundred thirty-one".

Divisors: 1 11 53 583 829 9119 25933 43937 285263 483307 1374449 15118939 21498457 236483027 1139418221 12533600431