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12575079264 = 2531111908219
BaseRepresentation
bin10111011011000100…
…00111101101100000
31012110101020012210110
423231202013231200
5201223210014024
65435451331320
7623423260446
oct135542075540
935411205713
1012575079264
1153733391a0
12252b450b40
131255346307
14874158b96
154d8eb9629
hex2ed887b60

12575079264 has 48 divisors (see below), whose sum is σ = 36010457280. Its totient is φ = 3810629760.

The previous prime is 12575079241. The next prime is 12575079269. The reversal of 12575079264 is 46297057521.

12575079264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12575079269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5953054 + ... + 5955165.

It is an arithmetic number, because the mean of its divisors is an integer number (750217860).

Almost surely, 212575079264 is an apocalyptic number.

It is an amenable number.

12575079264 is an abundant number, since it is smaller than the sum of its proper divisors (23435378016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12575079264 is a wasteful number, since it uses less digits than its factorization.

12575079264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11908243 (or 11908235 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 12575079264 in words is "twelve billion, five hundred seventy-five million, seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11908219 23816438 35724657 47632876 71449314 95265752 130990409 142898628 190531504 261980818 285797256 381063008 392971227 523961636 571594512 785942454 1047923272 1143189024 1571884908 2095846544 3143769816 4191693088 6287539632 12575079264