Search a number
-
+
12807969504 = 2531147925321
BaseRepresentation
bin10111110110110101…
…00001101011100000
31020001121110021010220
423323122201223200
5202212320011004
65514531123040
7632251641651
oct137332415340
936047407126
1012807969504
115482846070
122595443480
131291677ca5
1489705d528
154ee66ddd9
hex2fb6a1ae0

12807969504 has 96 divisors (see below), whose sum is σ = 36755389440. Its totient is φ = 3872947200.

The previous prime is 12807969481. The next prime is 12807969529. The reversal of 12807969504 is 40596970821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493164 + ... + 518484.

It is an arithmetic number, because the mean of its divisors is an integer number (382868640).

Almost surely, 212807969504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12807969504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18377694720).

12807969504 is an abundant number, since it is smaller than the sum of its proper divisors (23947419936).

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

12807969504 is a wasteful number, since it uses less digits than its factorization.

12807969504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25824 (or 25816 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 12807969504 in words is "twelve billion, eight hundred seven million, nine hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 479 528 958 1056 1437 1916 2874 3832 5269 5748 7664 10538 11496 15328 15807 21076 22992 25321 31614 42152 45984 50642 63228 75963 84304 101284 126456 151926 168608 202568 252912 278531 303852 405136 505824 557062 607704 810272 835593 1114124 1215408 1671186 2228248 2430816 3342372 4456496 6684744 8912992 12128759 13369488 24257518 26738976 36386277 48515036 72772554 97030072 133416349 145545108 194060144 266832698 291090216 388120288 400249047 533665396 582180432 800498094 1067330792 1164360864 1600996188 2134661584 3201992376 4269323168 6403984752 12807969504