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13977161856 = 273271733279
BaseRepresentation
bin11010000010001101…
…01001000010000000
31100002002111101112100
431001012221002000
5212111123134411
610230535030400
71003236626010
oct150106510200
940062441470
1013977161856
115a2281a639
122860b0b400
131419973998
1496844dc40
1556c121456
hex3411a9080

13977161856 has 96 divisors (see below), whose sum is σ = 45966585600. Its totient is φ = 3993472512.

The previous prime is 13977161851. The next prime is 13977161873. The reversal of 13977161856 is 65816177931.

13977161856 is a `hidden beast` number, since 1 + 397 + 71 + 6 + 185 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×139771618562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13977161851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858576 + ... + 874703.

It is an arithmetic number, because the mean of its divisors is an integer number (478818600).

Almost surely, 213977161856 is an apocalyptic number.

13977161856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13977161856 is an abundant number, since it is smaller than the sum of its proper divisors (31989423744).

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

13977161856 is a wasteful number, since it uses less digits than its factorization.

13977161856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733306 (or 1733291 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 13977161856 in words is "thirteen billion, nine hundred seventy-seven million, one hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 1733279 3466558 5199837 6933116 10399674 12132953 13866232 15599511 20799348 24265906 27732464 31199022 36398859 41598696 48531812 55464928 62398044 72797718 83197392 97063624 109196577 110929856 124796088 145595436 166394784 194127248 218393154 221859712 249592176 291190872 332789568 388254496 436786308 499184352 582381744 665579136 776508992 873572616 998368704 1164763488 1553017984 1747145232 1996737408 2329526976 3494290464 4659053952 6988580928 13977161856