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12768670800831 = 3113374603249437
BaseRepresentation
bin1011100111001111000000…
…0101100101101110111111
31200012200011121210121221010
42321303300011211232333
53133200214211111311
643053502453010303
72455335365013321
oct271636005455677
950180147717833
1012768670800831
114083187874560
1215227a2023993
13718107ab488a
14322015177611
15172220a7bda6
hexb9cf0165bbf

12768670800831 has 32 divisors (see below), whose sum is σ = 18631845243648. Its totient is φ = 7713918051840.

The previous prime is 12768670800779. The next prime is 12768670800839. The reversal of 12768670800831 is 13800807686721.

It is not a de Polignac number, because 12768670800831 - 213 = 12768670792639 is a prime.

It is a super-2 number, since 2×127686708008312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768670800839) 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, 51065245 + ... + 51314681.

It is an arithmetic number, because the mean of its divisors is an integer number (582245163864).

Almost surely, 212768670800831 is an apocalyptic number.

12768670800831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12768670800831 is a deficient number, since it is larger than the sum of its proper divisors (5863174442817).

12768670800831 is a wasteful number, since it uses less digits than its factorization.

12768670800831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254391.

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 12768670800831 in words is "twelve trillion, seven hundred sixty-eight billion, six hundred seventy million, eight hundred thousand, eight hundred thirty-one".

Divisors: 1 3 11 33 337 1011 3707 4603 11121 13809 50633 151899 249437 748311 1551211 2743807 4653633 8231421 17063321 51189963 84060269 252180807 924662959 1148158511 2773988877 3444475533 12629743621 37889230863 386929418207 1160788254621 4256223600277 12768670800831