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5157112896 = 263213688717
BaseRepresentation
bin1001100110110001…
…10100110001000000
3111022102000110221100
410303120310301000
541030210103041
62211422454400
7241540510365
oct46330646100
914272013840
105157112896
112207068281
12bbb134400
1364257b1c0
1436ccbc46c
15202b3d6b6
hex133634c40

5157112896 has 84 divisors (see below), whose sum is σ = 15919027852. Its totient is φ = 1586801664.

The previous prime is 5157112889. The next prime is 5157112897. The reversal of 5157112896 is 6982117515.

5157112896 is a `hidden beast` number, since 51 + 571 + 1 + 28 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2760031296 + 2397081600 = 52536^2 + 48960^2 .

It is not an unprimeable number, because it can be changed into a prime (5157112897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336871 + ... + 351846.

Almost surely, 25157112896 is an apocalyptic number.

It is an amenable number.

5157112896 is an abundant number, since it is smaller than the sum of its proper divisors (10761914956).

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

5157112896 is a wasteful number, since it uses less digits than its factorization.

5157112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688748 (or 688735 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The square root of 5157112896 is about 71813.0412668897. The cubic root of 5157112896 is about 1727.7021734658.

The spelling of 5157112896 in words is "five billion, one hundred fifty-seven million, one hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 688717 1377434 2066151 2754868 4132302 5509736 6198453 8264604 8953321 11019472 12396906 16529208 17906642 22038944 24793812 26859963 33058416 35813284 44077888 49587624 53719926 66116832 71626568 80579889 99175248 107439852 132233664 143253136 161159778 198350496 214879704 286506272 322319556 396700992 429759408 573012544 644639112 859518816 1289278224 1719037632 2578556448 5157112896