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31483631688 = 23329471915039
BaseRepresentation
bin11101010100100100…
…100001100001001000
310000021011000012102220
4131110210201201020
51003434302203223
622244031254040
72163123311445
oct352444414110
9100234005386
1031483631688
1112396764523
12612797a320
132c79875c82
1417494ca9cc
15c43edd6e3
hex754921848

31483631688 has 128 divisors (see below), whose sum is σ = 83607552000. Its totient is φ = 9863194880.

The previous prime is 31483631653. The next prime is 31483631701. The reversal of 31483631688 is 88613638413.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31483631688.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6245473 + ... + 6250511.

It is an arithmetic number, because the mean of its divisors is an integer number (653184000).

Almost surely, 231483631688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31483631688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41803776000).

31483631688 is an abundant number, since it is smaller than the sum of its proper divisors (52123920312).

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

31483631688 is a wasteful number, since it uses less digits than its factorization.

31483631688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5311 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The spelling of 31483631688 in words is "thirty-one billion, four hundred eighty-three million, six hundred thirty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 87 94 116 141 174 188 191 232 282 348 376 382 564 573 696 764 1128 1146 1363 1528 2292 2726 4089 4584 5039 5452 5539 8178 8977 10078 10904 11078 15117 16356 16617 17954 20156 22156 26931 30234 32712 33234 35908 40312 44312 53862 60468 66468 71816 107724 120936 132936 146131 215448 236833 260333 292262 438393 473666 520666 584524 710499 780999 876786 947332 962449 1041332 1169048 1420998 1561998 1753572 1894664 1924898 2082664 2841996 2887347 3123996 3507144 3849796 5683992 5774694 6247992 6868157 7699592 11549388 13736314 20604471 23098776 27472628 27911021 41208942 45235103 54945256 55822042 82417884 83733063 90470206 111644084 135705309 164835768 167466126 180940412 223288168 271410618 334932252 361880824 542821236 669864504 1085642472 1311817987 2623635974 3935453961 5247271948 7870907922 10494543896 15741815844 31483631688