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10676194886016 = 27341193611417
BaseRepresentation
bin1001101101011011111011…
…0011011100000110000000
31101210122010101012120020000
42123112332303130012000
52344404321342323031
634412324244120000
72151221030135202
oct233267663340600
941718111176200
1010676194886016
11344682675a1a0
121245150096000
135c59b77b27aa
1428ca32a48772
15137aa41a33e6
hex9b5becdc180

10676194886016 has 160 divisors (see below), whose sum is σ = 34660563628680. Its totient is φ = 3235210536960.

The previous prime is 10676194886009. The next prime is 10676194886033. The reversal of 10676194886016 is 61068849167601.

10676194886016 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 6 + 19 + 4 + 8 + 8 + 601 + 6 = 666.

10676194886016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106761948860162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46691661 + ... + 46919756.

Almost surely, 210676194886016 is an apocalyptic number.

10676194886016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10676194886016 is an abundant number, since it is smaller than the sum of its proper divisors (23984368742664).

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

10676194886016 is an equidigital number, since it uses as much as digits as its factorization.

10676194886016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93611454 (or 93611433 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 10676194886016 in words is "ten trillion, six hundred seventy-six billion, one hundred ninety-four million, eight hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4752 5184 6336 7128 9504 10368 12672 14256 19008 28512 38016 57024 114048 93611417 187222834 280834251 374445668 561668502 748891336 842502753 1029725587 1123337004 1497782672 1685005506 2059451174 2246674008 2527508259 2995565344 3089176761 3370011012 4118902348 4493348016 5055016518 5991130688 6178353522 6740022024 7582524777 8237804696 8986696032 9267530283 10110033036 11982261376 12356707044 13480044048 15165049554 16475609392 17973392064 18535060566 20220066072 24713414088 26960088096 27802590849 30330099108 32951218784 35946784128 37070121132 40440132144 49426828176 53920176192 55605181698 60660198216 65902437568 74140242264 80880264288 83407772547 98853656352 107840352384 111210363396 121320396432 131804875136 148280484528 161760528576 166815545094 197707312704 222420726792 242640792864 296560969056 323521057152 333631090188 395414625408 444841453584 485281585728 593121938112 667262180376 889682907168 970563171456 1186243876224 1334524360752 1779365814336 2669048721504 3558731628672 5338097443008 10676194886016