Search a number
-
+
12137967106 = 2193173191739
BaseRepresentation
bin10110100110111101…
…01010111000000010
31011022220201121122021
423103132222320002
5144324304421411
65324234432054
7606535006126
oct132336527002
934286647567
1012137967106
115169625381
122428b9262a
1311b590c775
14832093586
154b0924a71
hex2d37aae02

12137967106 has 64 divisors (see below), whose sum is σ = 20186726400. Its totient is φ = 5451753600.

The previous prime is 12137967097. The next prime is 12137967119. The reversal of 12137967106 is 60176973121.

12137967106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16424485 + ... + 16425223.

It is an arithmetic number, because the mean of its divisors is an integer number (315417600).

Almost surely, 212137967106 is an apocalyptic number.

12137967106 is a deficient number, since it is larger than the sum of its proper divisors (8048759294).

12137967106 is a wasteful number, since it uses less digits than its factorization.

12137967106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055.

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 12137967106 in words is "twelve billion, one hundred thirty-seven million, nine hundred sixty-seven thousand, one hundred six".

Divisors: 1 2 19 31 38 62 73 146 191 382 589 739 1178 1387 1478 2263 2774 3629 4526 5921 7258 11842 13943 14041 22909 27886 28082 42997 45818 53947 85994 107894 112499 141149 224998 264917 282298 432233 435271 529834 864466 870542 1024993 1672357 2049986 2681831 3344714 4375619 5363662 8212427 8751238 10303877 16424854 20607754 31774783 63549566 83136761 166273522 195773663 319420187 391547326 638840374 6068983553 12137967106