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56315627856 = 24324733724691
BaseRepresentation
bin110100011100101011…
…000100100101010000
312101100201210022022200
4310130223010211100
51410313300042411
641512051203200
74032360636645
oct643453044520
9171321708280
1056315627856
1121979781804
12aab7ba6500
135406348927
142a2341ddcc
1516e9076e56
hexd1cac4950

56315627856 has 120 divisors (see below), whose sum is σ = 161443012224. Its totient is φ = 18317214720.

The previous prime is 56315627843. The next prime is 56315627869. The reversal of 56315627856 is 65872651365.

It is a happy number.

56315627856 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 5 + 627 + 8 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (56315627843) and next prime (56315627869).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2268471 + ... + 2293161.

Almost surely, 256315627856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56315627856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80721506112).

56315627856 is an abundant number, since it is smaller than the sum of its proper divisors (105127384368).

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

56315627856 is a wasteful number, since it uses less digits than its factorization.

56315627856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25089 (or 25080 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 56315627856 in words is "fifty-six billion, three hundred fifteen million, six hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 337 376 423 564 674 752 846 1011 1128 1348 1692 2022 2256 2696 3033 3384 4044 5392 6066 6768 8088 12132 15839 16176 24264 24691 31678 47517 48528 49382 63356 74073 95034 98764 126712 142551 148146 190068 197528 222219 253424 285102 296292 380136 395056 444438 570204 592584 760272 888876 1140408 1160477 1185168 1777752 2280816 2320954 3481431 3555504 4641908 6962862 8320867 9283816 10444293 13925724 16641734 18567632 20888586 24962601 27851448 33283468 41777172 49925202 55702896 66566936 74887803 83554344 99850404 133133872 149775606 167108688 199700808 299551212 391080749 399401616 599102424 782161498 1173242247 1198204848 1564322996 2346484494 3128645992 3519726741 4692968988 6257291984 7039453482 9385937976 14078906964 18771875952 28157813928 56315627856