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12915415135992 = 23319592143224011
BaseRepresentation
bin1011101111110001101010…
…1110110011011011111000
31200201200221111011020020110
42323330122232303123320
53143101232233322432
643245132041224320
72502052012204335
oct273743256633370
950650844136213
1012915415135992
11412a44015a506
1215471164920a0
13728bc2a05825
143291763ad98c
15175e5d914dcc
hexbbf1abb36f8

12915415135992 has 128 divisors (see below), whose sum is σ = 34580284416000. Its totient is φ = 4007535315840.

The previous prime is 12915415135939. The next prime is 12915415135993. The reversal of 12915415135992 is 29953151451921.

It is a super-2 number, since 2×129154151359922 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12915415135993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57543267 + ... + 57767277.

It is an arithmetic number, because the mean of its divisors is an integer number (270158472000).

Almost surely, 212915415135992 is an apocalyptic number.

12915415135992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12915415135992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17290142208000).

12915415135992 is an abundant number, since it is smaller than the sum of its proper divisors (21664869280008).

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

12915415135992 is a wasteful number, since it uses less digits than its factorization.

12915415135992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226241 (or 226237 counting only the distinct ones).

The product of its digits is 4374000, while the sum is 57.

The spelling of 12915415135992 in words is "twelve trillion, nine hundred fifteen billion, four hundred fifteen million, one hundred thirty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 59 76 114 118 152 177 228 236 354 456 472 708 1121 1416 2143 2242 3363 4286 4484 6429 6726 8572 8968 12858 13452 17144 25716 26904 40717 51432 81434 122151 126437 162868 224011 244302 252874 325736 379311 448022 488604 505748 672033 758622 896044 977208 1011496 1344066 1517244 1792088 2402303 2688132 3034488 4256209 4804606 5376264 7206909 8512418 9609212 12768627 13216649 14413818 17024836 19218424 25537254 26433298 28827636 34049672 39649947 51074508 52866596 57655272 79299894 102149016 105733192 158599788 251116331 317199576 480055573 502232662 753348993 960111146 1004465324 1440166719 1506697986 1920222292 2008930648 2880333438 3013395972 3840444584 5760666876 6026791944 9121055887 11521333752 18242111774 27363167661 28323278807 36484223548 54726335322 56646557614 72968447096 84969836421 109452670644 113293115228 169939672842 218905341288 226586230456 339879345684 538142297333 679758691368 1076284594666 1614426891999 2152569189332 3228853783998 4305138378664 6457707567996 12915415135992