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56611156068 = 223317173178231
BaseRepresentation
bin110100101110010010…
…011011000001100100
312102010022212200211000
4310232102123001210
51411414423443233
642001245313300
74042606613145
oct645622330144
9172108780730
1056611156068
11220105814a5
12ab7ab65830
13545263c1ac
142a5078bacc
151714ea0d13
hexd2e49b064

56611156068 has 96 divisors (see below), whose sum is σ = 156302334720. Its totient is φ = 17657602560.

The previous prime is 56611156067. The next prime is 56611156103. The reversal of 56611156068 is 86065111665.

56611156068 is a `hidden beast` number, since 566 + 11 + 15 + 6 + 0 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (56611156061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228513 + ... + 406743.

It is an arithmetic number, because the mean of its divisors is an integer number (1628149320).

Almost surely, 256611156068 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 56611156068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78151167360).

56611156068 is an abundant number, since it is smaller than the sum of its proper divisors (99691178652).

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

56611156068 is a wasteful number, since it uses less digits than its factorization.

56611156068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178434 (or 178426 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 56611156068 in words is "fifty-six billion, six hundred eleven million, one hundred fifty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 173 204 306 346 459 519 612 692 918 1038 1557 1836 2076 2941 3114 4671 5882 6228 8823 9342 11764 17646 18684 26469 35292 52938 79407 105876 158814 178231 317628 356462 534693 712924 1069386 1604079 2138772 3029927 3208158 4812237 6059854 6416316 9089781 9624474 12119708 18179562 19248948 27269343 30833963 36359124 54538686 61667926 81808029 92501889 109077372 123335852 163616058 185003778 277505667 327232116 370007556 524177371 555011334 832517001 1048354742 1110022668 1572532113 1665034002 2096709484 3145064226 3330068004 4717596339 6290128452 9435192678 14152789017 18870385356 28305578034 56611156068