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6064676864 = 2137110427
BaseRepresentation
bin1011010010111101…
…11010000000000000
3120122122202111122122
411221132322000000
544410024124424
62441443023412
7303200621441
oct55136720000
916578674578
106064676864
112632396544
12121306ab68
137585c26bc
144176472c8
1525766145e
hex1697ba000

6064676864 has 56 divisors (see below), whose sum is σ = 12300618528. Its totient is φ = 2989342720.

The previous prime is 6064676801. The next prime is 6064676867. The reversal of 6064676864 is 4686764606.

It is not an unprimeable number, because it can be changed into a prime (6064676867) 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 3 ways as a sum of consecutive naturals, for example, 576419 + ... + 586845.

Almost surely, 26064676864 is an apocalyptic number.

6064676864 is a gapful number since it is divisible by the number (64) 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 6064676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150309264).

6064676864 is an abundant number, since it is smaller than the sum of its proper divisors (6235941664).

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

6064676864 is an equidigital number, since it uses as much as digits as its factorization.

6064676864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10524 (or 10500 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The square root of 6064676864 is about 77876.0352354946. The cubic root of 6064676864 is about 1823.6264752731.

The spelling of 6064676864 in words is "six billion, sixty-four million, six hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1024 1136 2048 2272 4096 4544 8192 9088 10427 18176 20854 36352 41708 72704 83416 145408 166832 290816 333664 581632 667328 740317 1334656 1480634 2669312 2961268 5338624 5922536 10677248 11845072 21354496 23690144 42708992 47380288 85417984 94760576 189521152 379042304 758084608 1516169216 3032338432 6064676864