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13977940176 = 2433311043753
BaseRepresentation
bin11010000010010011…
…00111000011010000
31100002010221221012000
431001021213003100
5212111323041201
610231003434000
71003246350114
oct150111470320
940063857160
1013977940176
115a23201382
122861225900
131419b87025
149685b3744
1556c226d86
hex3412670d0

13977940176 has 80 divisors (see below), whose sum is σ = 41416158720. Its totient is φ = 4509008640.

The previous prime is 13977940157. The next prime is 13977940279. The reversal of 13977940176 is 67104977931.

13977940176 is a `hidden beast` number, since 13 + 97 + 79 + 401 + 76 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508485 + ... + 535268.

It is an arithmetic number, because the mean of its divisors is an integer number (517701984).

Almost surely, 213977940176 is an apocalyptic number.

13977940176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13977940176 is an abundant number, since it is smaller than the sum of its proper divisors (27438218544).

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

13977940176 is a wasteful number, since it uses less digits than its factorization.

13977940176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043801 (or 1043789 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 13977940176 in words is "thirteen billion, nine hundred seventy-seven million, nine hundred forty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 1043753 2087506 3131259 4175012 6262518 8350024 9393777 12525036 16700048 18787554 25050072 28181331 32356343 37575108 50100144 56362662 64712686 75150216 97069029 112725324 129425372 150300432 194138058 225450648 258850744 291207087 388276116 450901296 517701488 582414174 776552232 873621261 1164828348 1553104464 1747242522 2329656696 3494485044 4659313392 6988970088 13977940176