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12811466643768 = 23331313733302833
BaseRepresentation
bin1011101001101110011011…
…1010110001100100111000
31200100202122010201200221000
42322123212322301210320
53134400340430100033
643125301224245000
72461412041456602
oct272334672614470
950322563650830
1012811466643768
11409a348a207a1
12152ab46310760
1371c16816a170
14324114ba6172
151733c7c2ba13
hexba6e6eb1938

12811466643768 has 128 divisors (see below), whose sum is σ = 38604645172800. Its totient is φ = 3913215971328.

The previous prime is 12811466643763. The next prime is 12811466643821. The reversal of 12811466643768 is 86734666411821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12811466643761) 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, 16266721 + ... + 17036112.

Almost surely, 212811466643768 is an apocalyptic number.

12811466643768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12811466643768 is an abundant number, since it is smaller than the sum of its proper divisors (25793178529032).

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

12811466643768 is a wasteful number, since it uses less digits than its factorization.

12811466643768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33302998 (or 33302988 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 12811466643768 in words is "twelve trillion, eight hundred eleven billion, four hundred sixty-six million, six hundred forty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 137 156 216 234 274 312 351 411 468 548 702 822 936 1096 1233 1404 1644 1781 2466 2808 3288 3562 3699 4932 5343 7124 7398 9864 10686 14248 14796 16029 21372 29592 32058 42744 48087 64116 96174 128232 192348 384696 33302833 66605666 99908499 133211332 199816998 266422664 299725497 399633996 432936829 599450994 799267992 865873658 899176491 1198901988 1298810487 1731747316 1798352982 2397803976 2597620974 3463494632 3596705964 3896431461 4562488121 5195241948 7193411928 7792862922 9124976242 10390483896 11689294383 13687464363 15585725844 18249952484 23378588766 27374928726 31171451688 36499904968 41062393089 46757177532 54749857452 59312345573 82124786178 93514355064 109499714904 118624691146 123187179267 164249572356 177937036719 237249382292 246374358534 328499144712 355874073438 474498764584 492748717068 533811110157 711748146876 985497434136 1067622220314 1423496293752 1601433330471 2135244440628 3202866660942 4270488881256 6405733321884 12811466643768