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5157197568 = 28324794673
BaseRepresentation
bin1001100110110010…
…01001011100000000
3111022102011210002100
410303121021130000
541030220310233
62211424350400
7241541312265
oct46331113400
914272153070
105157197568
112207115956
12bbb175400
136425aa8c3
1436cd0126c
15202b58813
hex133649700

5157197568 has 108 divisors (see below), whose sum is σ = 14903703360. Its totient is φ = 1715109888.

The previous prime is 5157197567. The next prime is 5157197581. The reversal of 5157197568 is 8657917515.

It is a happy number.

5157197568 is a `hidden beast` number, since 5 + 1 + 5 + 71 + 9 + 7 + 568 = 666.

It is a super-2 number, since 2×51571975682 = 53193373510770229248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5157197567) 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, 1101280 + ... + 1105952.

Almost surely, 25157197568 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 5157197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451851680).

5157197568 is an abundant number, since it is smaller than the sum of its proper divisors (9746505792).

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

5157197568 is a wasteful number, since it uses less digits than its factorization.

5157197568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174 (or 5157 counting only the distinct ones).

The product of its digits is 2646000, while the sum is 54.

The square root of 5157197568 is about 71813.6307952745. The cubic root of 5157197568 is about 1727.7116288336.

The spelling of 5157197568 in words is "five billion, one hundred fifty-seven million, one hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 479 576 768 958 1152 1437 1916 2304 2874 3832 4311 4673 5748 7664 8622 9346 11496 14019 15328 17244 18692 22992 28038 30656 34488 37384 42057 45984 56076 61312 68976 74768 84114 91968 112152 122624 137952 149536 168228 183936 224304 275904 299072 336456 367872 448608 551808 598144 672912 897216 1103616 1196288 1345824 1794432 2238367 2691648 3588864 4476734 5383296 6715101 8953468 10766592 13430202 17906936 20145303 26860404 35813872 40290606 53720808 71627744 80581212 107441616 143255488 161162424 214883232 286510976 322324848 429766464 573021952 644649696 859532928 1289299392 1719065856 2578598784 5157197568