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12976814270431 = 116173291790821
BaseRepresentation
bin1011110011010110011001…
…1001111010011111011111
31200221120102111110102121201
42330311212121322133133
53200103003423123211
643333244405540331
72506354361221234
oct274654631723737
950846374412551
1012976814270431
114153488394a20
121556bb0a146a7
1373192929a4cb
1432c11c9cb78b
15177853ddb0c1
hexbcd6667a7df

12976814270431 has 32 divisors (see below), whose sum is σ = 14590863821376. Its totient is φ = 11440704384000.

The previous prime is 12976814270411. The next prime is 12976814270471. The reversal of 12976814270431 is 13407241867921.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12976814270431 - 221 = 12976812173279 is a prime.

It is a super-2 number, since 2×129768142704312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12976814270411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142838001 + ... + 142928821.

It is an arithmetic number, because the mean of its divisors is an integer number (455964494418).

Almost surely, 212976814270431 is an apocalyptic number.

12976814270431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12976814270431 is a deficient number, since it is larger than the sum of its proper divisors (1614049550945).

12976814270431 is a wasteful number, since it uses less digits than its factorization.

12976814270431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93883.

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 12976814270431 in words is "twelve trillion, nine hundred seventy-six billion, eight hundred fourteen million, two hundred seventy thousand, four hundred thirty-one".

Divisors: 1 11 61 73 671 803 2917 4453 32087 48983 90821 177937 212941 999031 1957307 2342351 5540081 6629933 12989401 60940891 72929263 142883411 264924857 404425913 2914173427 4448685043 16160416277 19339514561 177764579047 212734660171 1179710388221 12976814270431