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12347945967 = 3719671273637
BaseRepresentation
bin10110111111111111…
…01011001111101111
31011212112211122111010
423133333223033233
5200242033232332
65401135200303
7614664544320
oct133777531757
934775748433
1012347945967
115267103625
122487376093
13121a27bb06
14851d12447
154c40a09cc
hex2dffeb3ef

12347945967 has 64 divisors (see below), whose sum is σ = 20265697280. Its totient is φ = 6531186816.

The previous prime is 12347945963. The next prime is 12347945969. The reversal of 12347945967 is 76954974321.

It is a happy number.

It is not a de Polignac number, because 12347945967 - 22 = 12347945963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12347945963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3393273 + ... + 3396909.

It is an arithmetic number, because the mean of its divisors is an integer number (316651520).

Almost surely, 212347945967 is an apocalyptic number.

12347945967 is a deficient number, since it is larger than the sum of its proper divisors (7917751313).

12347945967 is a wasteful number, since it uses less digits than its factorization.

12347945967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860.

The product of its digits is 11430720, while the sum is 57.

The spelling of 12347945967 in words is "twelve billion, three hundred forty-seven million, nine hundred forty-five thousand, nine hundred sixty-seven".

Divisors: 1 3 7 19 21 57 67 127 133 201 381 399 469 889 1273 1407 2413 2667 3637 3819 7239 8509 8911 10911 16891 25459 25527 26733 50673 59563 69103 76377 161671 178689 207309 243679 461899 483721 485013 731037 1131697 1385697 1451163 1705753 3233293 3395091 4629901 5117259 8776081 9699879 13889703 26328243 30947233 32409307 61432567 92841699 97227921 184297701 216630631 587997427 649891893 1763992281 4115981989 12347945967