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31678715432 = 237131032411753
BaseRepresentation
bin11101100000001100…
…101101011000101000
310000202202002111000202
4131200030231120220
51004334222343212
622315240451332
72201012431640
oct354014553050
9100682074022
1031678715432
1112486899861
126181179b48
132cab0cb640
14176738d520
15c561c60c2
hex76032d628

31678715432 has 128 divisors (see below), whose sum is σ = 74163048960. Its totient is φ = 12352020480.

The previous prime is 31678715423. The next prime is 31678715507. The reversal of 31678715432 is 23451787613.

It is a happy number.

It is a super-2 number, since 2×316787154322 (a number of 22 digits) contains 22 as substring.

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, 18070268 + ... + 18072020.

It is an arithmetic number, because the mean of its divisors is an integer number (579398820).

Almost surely, 231678715432 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 31678715432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37081524480).

31678715432 is an abundant number, since it is smaller than the sum of its proper divisors (42484333528).

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

31678715432 is a wasteful number, since it uses less digits than its factorization.

31678715432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2119 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The spelling of 31678715432 in words is "thirty-one billion, six hundred seventy-eight million, seven hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 103 104 182 206 241 364 412 482 721 728 824 964 1339 1442 1687 1753 1928 2678 2884 3133 3374 3506 5356 5768 6266 6748 7012 9373 10712 12271 12532 13496 14024 18746 21931 22789 24542 24823 25064 37492 43862 45578 49084 49646 74984 87724 91156 98168 99292 159523 173761 175448 180559 182312 198584 319046 322699 347522 361118 422473 638092 645398 695044 722236 844946 1263913 1276184 1290796 1390088 1444472 1689892 2258893 2347267 2527826 2581592 2957311 3379784 4517786 4694534 5055652 5492149 5914622 9035572 9389068 10111304 10984298 11829244 16430869 18071144 18778136 21968596 23658488 32861738 38445043 43514719 43937192 65723476 76890086 87029438 131446952 153780172 174058876 304603033 307560344 348117752 565691347 609206066 1131382694 1218412132 2262765388 2436824264 3959839429 4525530776 7919678858 15839357716 31678715432