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56675746296 = 233213191317021
BaseRepresentation
bin110100110010001000…
…110100000111111000
312102021211102012221200
4310302020310013320
51412032442340141
642011513534200
74044322615641
oct646210640770
9172254365850
1056675746296
1122043a88054
12ab98714360
135462b35570
142a591a26c8
15171a9adab6
hexd322341f8

56675746296 has 96 divisors (see below), whose sum is σ = 166170251520. Its totient is φ = 17347334400.

The previous prime is 56675746279. The next prime is 56675746339. The reversal of 56675746296 is 69264757665.

56675746296 is a `hidden beast` number, since 56 + 6 + 7 + 574 + 6 + 2 + 9 + 6 = 666.

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, 20266 + ... + 337286.

It is an arithmetic number, because the mean of its divisors is an integer number (1730940120).

Almost surely, 256675746296 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 56675746296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83085125760).

56675746296 is an abundant number, since it is smaller than the sum of its proper divisors (109494505224).

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

56675746296 is a wasteful number, since it uses less digits than its factorization.

56675746296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317237 (or 317230 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 56675746296 in words is "fifty-six billion, six hundred seventy-five million, seven hundred forty-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 191 234 312 382 468 573 764 936 1146 1528 1719 2292 2483 3438 4584 4966 6876 7449 9932 13752 14898 19864 22347 29796 44694 59592 89388 178776 317021 634042 951063 1268084 1902126 2536168 2853189 3804252 4121273 5706378 7608504 8242546 11412756 12363819 16485092 22825512 24727638 32970184 37091457 49455276 60551011 74182914 98910552 121102022 148365828 181653033 242204044 296731656 363306066 484408088 544959099 726612132 787163143 1089918198 1453224264 1574326286 2179836396 2361489429 3148652572 4359672792 4722978858 6297305144 7084468287 9445957716 14168936574 18891915432 28337873148 56675746296