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5136508656 = 24321719710651
BaseRepresentation
bin1001100100010100…
…01110011011110000
3111020222020200020100
410302022032123300
541004421234111
62205405112400
7241200413616
oct46212163360
914228220210
105136508656
1121a6474a84
12bb4258700
1363b215a46
1436a2776b6
15200e1d756
hex13228e6f0

5136508656 has 120 divisors (see below), whose sum is σ = 15299382384. Its totient is φ = 1603123200.

The previous prime is 5136508591. The next prime is 5136508669. The reversal of 5136508656 is 6568056315.

5136508656 is a `hidden beast` number, since 5 + 136 + 508 + 6 + 5 + 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, 476931 + ... + 487581.

Almost surely, 25136508656 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 5136508656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649691192).

5136508656 is an abundant number, since it is smaller than the sum of its proper divisors (10162873728).

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

5136508656 is a wasteful number, since it uses less digits than its factorization.

5136508656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10879 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5136508656 is about 71669.4401819911. The cubic root of 5136508656 is about 1725.3982032188.

The spelling of 5136508656 in words is "five billion, one hundred thirty-six million, five hundred eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 197 204 272 306 394 408 591 612 788 816 1182 1224 1576 1773 2364 2448 3152 3349 3546 4728 6698 7092 9456 10047 10651 13396 14184 20094 21302 26792 28368 30141 31953 40188 42604 53584 60282 63906 80376 85208 95859 120564 127812 160752 170416 181067 191718 241128 255624 362134 383436 482256 511248 543201 724268 766872 1086402 1448536 1533744 1629603 2098247 2172804 2897072 3259206 4196494 4345608 6294741 6518412 8392988 8691216 12589482 13036824 16785976 18884223 25178964 26073648 33571952 35670199 37768446 50357928 71340398 75536892 100715856 107010597 142680796 151073784 214021194 285361592 302147568 321031791 428042388 570723184 642063582 856084776 1284127164 1712169552 2568254328 5136508656