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56324362896 = 24321733376709
BaseRepresentation
bin110100011101001100…
…011001001010010000
312101101100020002112200
4310131030121022100
51410323014103041
641513002323200
74032525120354
oct643514311220
9171340202480
1056324362896
11219836a854a
12aabaab9500
1354080b67a9
142a24655464
1516e9c001b6
hexd1d319290

56324362896 has 120 divisors (see below), whose sum is σ = 159035293560. Its totient is φ = 18608099328.

The previous prime is 56324362883. The next prime is 56324363009. The reversal of 56324362896 is 69826342365.

It is a happy number.

56324362896 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 4 + 3 + 628 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17726259600 + 38598103296 = 133140^2 + 196464^2 .

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, 8391990 + ... + 8398698.

It is an arithmetic number, because the mean of its divisors is an integer number (1325294113).

Almost surely, 256324362896 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 56324362896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79517646780).

56324362896 is an abundant number, since it is smaller than the sum of its proper divisors (102710930664).

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

56324362896 is a wasteful number, since it uses less digits than its factorization.

56324362896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7233 (or 7224 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 56324362896 in words is "fifty-six billion, three hundred twenty-four million, three hundred sixty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 337 346 519 674 692 1011 1038 1348 1384 1557 2022 2076 2696 2768 3033 3114 4044 4152 5392 6066 6228 6709 8088 8304 12132 12456 13418 16176 20127 24264 24912 26836 40254 48528 53672 58301 60381 80508 107344 116602 120762 161016 174903 233204 241524 322032 349806 466408 483048 524709 699612 932816 966096 1049418 1160657 1399224 2098836 2260933 2321314 2798448 3481971 4197672 4521866 4642628 6782799 6963942 8395344 9043732 9285256 10445913 13565598 13927884 18087464 18570512 20348397 20891826 27131196 27855768 36174928 40696794 41783652 54262392 55711536 81393588 83567304 108524784 162787176 167134608 325574352 391141409 782282818 1173424227 1564565636 2346848454 3129131272 3520272681 4693696908 6258262544 7040545362 9387393816 14081090724 18774787632 28162181448 56324362896