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56144173764978 = 232131789134115353
BaseRepresentation
bin11001100010000000101011…
…00010001001000101110010
321100210022221000001220222100
430301000111202021011302
524324331231440434403
6315224135524321230
714553165651624525
oct1461002542110562
9240708830056870
1056144173764978
1116986679462022
12636914a243216
1325434b0266380
14dc156d08cbbc
1567568ae652a3
hex331015889172

56144173764978 has 48 divisors (see below), whose sum is σ = 131076300078360. Its totient is φ = 17265473955072.

The previous prime is 56144173764947. The next prime is 56144173765021. The reversal of 56144173764978 is 87946737144165.

56144173764978 is a `hidden beast` number, since 5 + 6 + 1 + 441 + 7 + 3 + 76 + 49 + 78 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40160065816809 + 15984107948169 = 6337197^2 + 3998013^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66639051 + ... + 67476302.

Almost surely, 256144173764978 is an apocalyptic number.

56144173764978 is an abundant number, since it is smaller than the sum of its proper divisors (74932126313382).

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

56144173764978 is a wasteful number, since it uses less digits than its factorization.

56144173764978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134117163 (or 134117160 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 56144173764978 in words is "fifty-six trillion, one hundred forty-four billion, one hundred seventy-three million, seven hundred sixty-four thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1789 3578 5367 10734 16101 23257 32202 46514 69771 139542 209313 418626 134115353 268230706 402346059 804692118 1207038177 1743499589 2414076354 3486999178 5230498767 10460997534 15691496301 31382992602 239932366517 479864733034 719797099551 1439594199102 2159391298653 3119120764721 4318782597306 6238241529442 9357362294163 18714724588326 28072086882489 56144173764978