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137830420393512 = 23371199175260909
BaseRepresentation
bin11111010101101100100101…
…001111110010111000101000
3200002000110101222110002222220
4133111230211033302320220
5121031203200110043022
61205050230534314040
741013630206642640
oct3725544517627050
9602013358402886
10137830420393512
113aa0a60a098150
1213560560ab8920
135bba478354112
142607056957520
1510e0443a5485c
hex7d5b253f2e28

137830420393512 has 128 divisors (see below), whose sum is σ = 430034818867200. Its totient is φ = 35763983481600.

The previous prime is 137830420393429. The next prime is 137830420393577. The reversal of 137830420393512 is 215393024038731.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35799087 + ... + 39461822.

It is an arithmetic number, because the mean of its divisors is an integer number (3359647022400).

Almost surely, 2137830420393512 is an apocalyptic number.

137830420393512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137830420393512 is an abundant number, since it is smaller than the sum of its proper divisors (292204398473688).

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

137830420393512 is a wasteful number, since it uses less digits than its factorization.

137830420393512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75261927 (or 75261923 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 137830420393512 in words is "one hundred thirty-seven trillion, eight hundred thirty billion, four hundred twenty million, three hundred ninety-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 991 1848 1982 2973 3964 5946 6937 7928 10901 11892 13874 20811 21802 23784 27748 32703 41622 43604 55496 65406 76307 83244 87208 130812 152614 166488 228921 261624 305228 457842 610456 915684 1831368 75260909 150521818 225782727 301043636 451565454 526826363 602087272 827869999 903130908 1053652726 1580479089 1655739998 1806261816 2107305452 2483609997 3160958178 3311479996 4214610904 4967219994 5795089993 6321916356 6622959992 9934439988 11590179986 12643832712 17385269979 19868879976 23180359972 34770539958 46360719944 69541079916 74583560819 139082159832 149167121638 223750682457 298334243276 447501364914 522084925733 596668486552 820419169009 895002729828 1044169851466 1566254777199 1640838338018 1790005459656 2088339702932 2461257507027 3132509554398 3281676676036 4176679405864 4922515014054 5742934183063 6265019108796 6563353352072 9845030028108 11485868366126 12530038217592 17228802549189 19690060056216 22971736732252 34457605098378 45943473464504 68915210196756 137830420393512