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2668307082672 = 2437112066334939
BaseRepresentation
bin100110110101000011011…
…111101110110110110000
3100110002100220112020100010
4212311003133232312300
5322204143103121142
65401445305054520
7363531064656510
oct46650337566660
910402326466303
102668307082672
11939693870620
12371176787440
1316480a99c69a
149320a989840
154961ea05e9c
hex26d437eedb0

2668307082672 has 160 divisors (see below), whose sum is σ = 8594689904640. Its totient is φ = 693013397760.

The previous prime is 2668307082671. The next prime is 2668307082691. The reversal of 2668307082672 is 2762807038662.

It is not an unprimeable number, because it can be changed into a prime (2668307082671) 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, 76352979 + ... + 76387917.

It is an arithmetic number, because the mean of its divisors is an integer number (53716811904).

Almost surely, 22668307082672 is an apocalyptic number.

2668307082672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2668307082672 is an abundant number, since it is smaller than the sum of its proper divisors (5926382821968).

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

2668307082672 is a wasteful number, since it uses less digits than its factorization.

2668307082672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55631 (or 55625 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 2668307082672 in words is "two trillion, six hundred sixty-eight billion, three hundred seven million, eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 20663 34939 41326 61989 69878 82652 104817 123978 139756 144641 165304 209634 227293 244573 247956 279512 289282 330608 384329 419268 433923 454586 489146 495912 559024 578564 681879 733719 768658 838536 867846 909172 978292 991824 1152987 1157128 1363758 1467438 1537316 1591051 1677072 1735692 1818344 1956584 2305974 2314256 2690303 2727516 2934876 3074632 3182102 3471384 3636688 3913168 4611948 4773153 5380606 5455032 5869752 6149264 6364204 6942768 8070909 9223896 9546306 10761212 10910064 11739504 12728408 16141818 18447792 19092612 21522424 25456816 32283636 38185224 43044848 64567272 76370448 129134544 721944557 1443889114 2165833671 2887778228 4331667342 5053611899 5775556456 7941390127 8663334684 10107223798 11551112912 15160835697 15882780254 17326669368 20214447596 23824170381 30321671394 31765560508 34653338736 40428895192 47648340762 55589730889 60643342788 63531121016 80857790384 95296681524 111179461778 121286685576 127062242032 166769192667 190593363048 222358923556 242573371152 333538385334 381186726096 444717847112 667076770668 889435694224 1334153541336 2668307082672