Search a number
-
+
12689565168 = 243737766563
BaseRepresentation
bin10111101000101101…
…10110010111110000
31012202100122200221010
423310112312113300
5201442012041133
65455101230520
7626313344550
oct136426662760
935670580833
1012689565168
115421a24145
122561862440
131272c8c457
1488543b160
154e4081263
hex2f45b65f0

12689565168 has 40 divisors (see below), whose sum is σ = 37464431488. Its totient is φ = 3625589952.

The previous prime is 12689565167. The next prime is 12689565173. The reversal of 12689565168 is 86156598621.

It is a super-2 number, since 2×126895651682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12689565167) 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 7 ways as a sum of consecutive naturals, for example, 18882946 + ... + 18883617.

Almost surely, 212689565168 is an apocalyptic number.

It is an amenable number.

12689565168 is an abundant number, since it is smaller than the sum of its proper divisors (24774866320).

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

12689565168 is a wasteful number, since it uses less digits than its factorization.

12689565168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37766581 (or 37766575 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 57.

The spelling of 12689565168 in words is "twelve billion, six hundred eighty-nine million, five hundred sixty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 37766563 75533126 113299689 151066252 226599378 264365941 302132504 453198756 528731882 604265008 793097823 906397512 1057463764 1586195646 1812795024 2114927528 3172391292 4229855056 6344782584 12689565168