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5015686656 = 29318118041
BaseRepresentation
bin1001010101111010…
…10100111000000000
3110221112220021121110
410222331110320000
540233003433111
62145411323320
7235202430111
oct45275247000
913845807543
105015686656
112144251692
12b7b8b0540
1361c191936
143581c6208
151e55045a6
hex12af54e00

5015686656 has 80 divisors (see below), whose sum is σ = 13436671248. Its totient is φ = 1662566400.

The previous prime is 5015686651. The next prime is 5015686673. The reversal of 5015686656 is 6566865105.

It is a super-2 number, since 2×50156866562 = 50314225262352924672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5015686651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268996 + ... + 287036.

Almost surely, 25015686656 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 5015686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718335624).

5015686656 is an abundant number, since it is smaller than the sum of its proper divisors (8420984592).

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

5015686656 is a wasteful number, since it uses less digits than its factorization.

5015686656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18243 (or 18227 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The square root of 5015686656 is about 70821.5126638792. The cubic root of 5015686656 is about 1711.7623334444.

The spelling of 5015686656 in words is "five billion, fifteen million, six hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 512 543 724 768 1086 1448 1536 2172 2896 4344 5792 8688 11584 17376 18041 23168 34752 36082 46336 54123 69504 72164 92672 108246 139008 144328 216492 278016 288656 432984 577312 865968 1154624 1731936 2309248 3265421 3463872 4618496 6530842 6927744 9236992 9796263 13061684 13855488 19592526 26123368 27710976 39185052 52246736 78370104 104493472 156740208 208986944 313480416 417973888 626960832 835947776 1253921664 1671895552 2507843328 5015686656