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12631640455368 = 23331137314252941
BaseRepresentation
bin1011011111010000100001…
…1100010011100011001000
31122201120110202000211101000
42313310020130103203020
53123424044424032433
642510521233055000
72442414553212054
oct267641034234310
948646422024330
1012631640455368
114030059804870
12150011a9b7460
1370820a540b1c
143195360d2c64
1516d8a0908113
hexb7d087138c8

12631640455368 has 128 divisors (see below), whose sum is σ = 38380322217600. Its totient is φ = 3817507449600.

The previous prime is 12631640455309. The next prime is 12631640455373. The reversal of 12631640455368 is 86355404613621.

12631640455368 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 1 + 64 + 0 + 45 + 536 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6240223 + ... + 8012718.

It is an arithmetic number, because the mean of its divisors is an integer number (299846267325).

Almost surely, 212631640455368 is an apocalyptic number.

12631640455368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12631640455368 is an abundant number, since it is smaller than the sum of its proper divisors (25748681762232).

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

12631640455368 is a wasteful number, since it uses less digits than its factorization.

12631640455368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14253340 (or 14253330 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 12631640455368 in words is "twelve trillion, six hundred thirty-one billion, six hundred forty million, four hundred fifty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 373 396 594 746 792 1119 1188 1492 2238 2376 2984 3357 4103 4476 6714 8206 8952 10071 12309 13428 16412 20142 24618 26856 32824 36927 40284 49236 73854 80568 98472 110781 147708 221562 295416 443124 886248 14252941 28505882 42758823 57011764 85517646 114023528 128276469 156782351 171035292 256552938 313564702 342070584 384829407 470347053 513105876 627129404 769658814 940694106 1026211752 1254258808 1411041159 1539317628 1881388212 2822082318 3078635256 3762776424 4233123477 5316346993 5644164636 8466246954 10632693986 11288329272 15949040979 16932493908 21265387972 31898081958 33864987816 42530775944 47847122937 58479816923 63796163916 95694245874 116959633846 127592327832 143541368811 175439450769 191388491748 233919267692 287082737622 350878901538 382776983496 467838535384 526318352307 574165475244 701757803076 1052636704614 1148330950488 1403515606152 1578955056921 2105273409228 3157910113842 4210546818456 6315820227684 12631640455368