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56144511047376 = 2434231883538347
BaseRepresentation
bin11001100010000001010011…
…01000110001011011010000
321100210100210111201122110000
430301000221220301123100
524324332424312004001
6315224233213410000
714553210215523243
oct1461005150613320
9240710714648400
1056144511047376
1116986831890304
126369223199900
1325435350b8a5b
14dc15a1ba925a
156756aa88aa86
hex331029a316d0

56144511047376 has 100 divisors (see below), whose sum is σ = 169563656240352. Its totient is φ = 17901148440384.

The previous prime is 56144511047347. The next prime is 56144511047411. The reversal of 56144511047376 is 67374011544165.

It is a happy number.

56144511047376 is a `hidden beast` number, since 5 + 6 + 1 + 44 + 51 + 10 + 473 + 76 = 666.

It is a super-2 number, since 2×561445110473762 (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 941739366 + ... + 941798981.

Almost surely, 256144511047376 is an apocalyptic number.

It is an amenable number.

56144511047376 is an abundant number, since it is smaller than the sum of its proper divisors (113419145192976).

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

56144511047376 is a wasteful number, since it uses less digits than its factorization.

56144511047376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883538390 (or 1883538375 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 56144511047376 in words is "fifty-six trillion, one hundred forty-four billion, five hundred eleven million, forty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4968 7452 9936 14904 29808 1883538347 3767076694 5650615041 7534153388 11301230082 15068306776 16951845123 22602460164 30136613552 33903690246 43321381981 45204920328 50855535369 67807380492 86642763962 90409840656 101711070738 129964145943 135614760984 152566606107 173285527924 203422141476 259928291886 271229521968 305133212214 346571055848 389892437829 406844282952 519856583772 610266424428 693142111696 779784875658 813688565904 1039713167544 1169677313487 1220532848856 1559569751316 2079426335088 2339354626974 2441065697712 3119139502632 3509031940461 4678709253948 6238279005264 7018063880922 9357418507896 14036127761844 18714837015792 28072255523688 56144511047376