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56094672078 = 232192324772879
BaseRepresentation
bin110100001111100000…
…001100010011001110
312100210100000120222100
4310033200030103032
51404340214001303
641434115255530
74024035563004
oct641740142316
9170710016870
1056094672078
1121875a86425
12aa55baa5a6
13539c635173
142a01d44a74
1516d497d8a3
hexd0f80c4ce

56094672078 has 96 divisors (see below), whose sum is σ = 133597900800. Its totient is φ = 16931204928.

The previous prime is 56094672077. The next prime is 56094672079. The reversal of 56094672078 is 87027649065.

56094672078 is a `hidden beast` number, since 5 + 609 + 4 + 6 + 7 + 20 + 7 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (56094672077) and next prime (56094672079).

It is a super-2 number, since 2×560946720782 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56094672077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19482643 + ... + 19485521.

It is an arithmetic number, because the mean of its divisors is an integer number (1391644800).

Almost surely, 256094672078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56094672078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66798950400).

56094672078 is an abundant number, since it is smaller than the sum of its proper divisors (77503228722).

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

56094672078 is a wasteful number, since it uses less digits than its factorization.

56094672078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 56094672078 in words is "fifty-six billion, ninety-four million, six hundred seventy-two thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 2477 2622 2879 3933 4954 5758 7431 7866 8637 14862 17274 22293 25911 44586 47063 51822 54701 56971 66217 94126 109402 113942 132434 141189 164103 170913 198651 282378 328206 341826 397302 423567 492309 512739 595953 847134 984618 1025478 1082449 1191906 1258123 2164898 2516246 3247347 3774369 6494694 7131283 7548738 9742041 11323107 14262566 19484082 21393849 22646214 42787698 64181547 128363094 135494377 164019509 270988754 328039018 406483131 492058527 812966262 984117054 1219449393 1476175581 2438898786 2952351162 3116370671 6232741342 9349112013 18698224026 28047336039 56094672078