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31068825816 = 23377113031999
BaseRepresentation
bin11100111011110110…
…001010100011011000
32222012020110212202110
4130323312022203120
51002112104411231
622134532432320
72146625443050
oct347366124330
988166425673
1031068825816
11121a35a6756
126030a786a0
132c1194c502
14170a390560
15c1c8a3046
hex73bd8a8d8

31068825816 has 128 divisors (see below), whose sum is σ = 90132480000. Its totient is φ = 8740690560.

The previous prime is 31068825773. The next prime is 31068825829. The reversal of 31068825816 is 61852886013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15541185 + ... + 15543183.

It is an arithmetic number, because the mean of its divisors is an integer number (704160000).

Almost surely, 231068825816 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 31068825816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45066240000).

31068825816 is an abundant number, since it is smaller than the sum of its proper divisors (59063654184).

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

31068825816 is a wasteful number, since it uses less digits than its factorization.

31068825816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 31068825816 in words is "thirty-one billion, sixty-eight million, eight hundred twenty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1303 1491 1704 1988 1999 2606 2982 3909 3976 3998 5212 5964 5997 7818 7996 9121 10424 11928 11994 13993 15636 15992 18242 23988 27363 27986 31272 36484 41979 47976 54726 55972 72968 83958 92513 109452 111944 141929 167916 185026 218904 277539 283858 335832 370052 425787 555078 567716 647591 740104 851574 993503 1110156 1135432 1295182 1703148 1942773 1987006 2220312 2590364 2604697 2980509 3406296 3885546 3974012 5180728 5209394 5961018 7771092 7814091 7948024 10418788 11922036 15542184 15628182 18232879 20837576 23844072 31256364 36465758 54698637 62512728 72931516 109397274 145863032 184933487 218794548 369866974 437589096 554800461 739733948 1109600922 1294534409 1479467896 2219201844 2589068818 3883603227 4438403688 5178137636 7767206454 10356275272 15534412908 31068825816