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12137960835 = 3357111389821
BaseRepresentation
bin10110100110111101…
…01001010110000011
31011022220201022001000
423103132221112003
5144324304221320
65324234343043
7606534651630
oct132336512603
934286638030
1012137960835
1151696206a0
122428b8aa83
1311b5909960
14832091187
154b0922c90
hex2d37a9583

12137960835 has 128 divisors (see below), whose sum is σ = 28972984320. Its totient is φ = 4656268800.

The previous prime is 12137960827. The next prime is 12137960911. The reversal of 12137960835 is 53806973121.

12137960835 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 7 + 9 + 608 + 35 = 666.

It is not a de Polignac number, because 12137960835 - 23 = 12137960827 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90225 + ... + 180045.

It is an arithmetic number, because the mean of its divisors is an integer number (226351440).

Almost surely, 212137960835 is an apocalyptic number.

12137960835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12137960835 is an abundant number, since it is smaller than the sum of its proper divisors (16835023485).

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

12137960835 is a wasteful number, since it uses less digits than its factorization.

12137960835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89866 (or 89860 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12137960835 in words is "twelve billion, one hundred thirty-seven million, nine hundred sixty thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 11 13 15 21 27 33 35 39 45 55 63 65 77 91 99 105 117 135 143 165 189 195 231 273 297 315 351 385 429 455 495 585 693 715 819 945 1001 1155 1287 1365 1485 1755 2079 2145 2457 3003 3465 3861 4095 5005 6435 9009 10395 12285 15015 19305 27027 45045 89821 135135 269463 449105 628747 808389 988031 1167673 1347315 1886241 2425167 2964093 3143735 3503019 4041945 4940155 5658723 5838365 6916217 8173711 8892279 9431205 10509057 12125835 12844403 14820465 16976169 17515095 20748651 24521133 26676837 28293615 31527171 34581085 38533209 40868555 44461395 52545285 62245953 64222015 73563399 84880845 89910821 103743255 115599627 122605665 133384185 157635855 186737859 192666045 220690197 269732463 311229765 346798881 367816995 449554105 577998135 809197389 933689295 1103450985 1348662315 1733994405 2427592167 4045986945 12137960835