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56086996896 = 25327197141223
BaseRepresentation
bin110100001111000010…
…111010011110100000
312100202210120122121100
4310033002322132200
51404331232400041
641433242554400
74023613415250
oct641702723640
9170683518540
1056086996896
11218717139a7
12aa53508a00
13539ab78838
142a00d07960
1516d3e646b6
hexd0f0ba7a0

56086996896 has 144 divisors (see below), whose sum is σ = 183209330304. Its totient is φ = 15943398912.

The previous prime is 56086996883. The next prime is 56086996957. The reversal of 56086996896 is 69869968065.

56086996896 is a `hidden beast` number, since 5 + 608 + 6 + 9 + 9 + 6 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326541 + ... + 467763.

It is an arithmetic number, because the mean of its divisors is an integer number (1272287016).

Almost surely, 256086996896 is an apocalyptic number.

56086996896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56086996896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91604665152).

56086996896 is an abundant number, since it is smaller than the sum of its proper divisors (127122333408).

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

56086996896 is a wasteful number, since it uses less digits than its factorization.

56086996896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141443 (or 141432 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 56086996896 in words is "fifty-six billion, eighty-six million, nine hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 197 224 252 288 336 394 504 591 672 788 1008 1182 1379 1576 1773 2016 2364 2758 3152 3546 4137 4728 5516 6304 7092 8274 9456 11032 12411 14184 16548 18912 22064 24822 28368 33096 44128 49644 56736 66192 99288 132384 141223 198576 282446 397152 423669 564892 847338 988561 1129784 1271007 1694676 1977122 2259568 2542014 2965683 3389352 3954244 4519136 5084028 5931366 6778704 7908488 8897049 10168056 11862732 13557408 15816976 17794098 20336112 23725464 27820931 31633952 35588196 40672224 47450928 55641862 71176392 83462793 94901856 111283724 142352784 166925586 194746517 222567448 250388379 284705568 333851172 389493034 445134896 500776758 584239551 667702344 778986068 890269792 1001553516 1168479102 1335404688 1557972136 1752718653 2003107032 2336958204 2670809376 3115944272 3505437306 4006214064 4673916408 6231888544 7010874612 8012428128 9347832816 14021749224 18695665632 28043498448 56086996896