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64568842816 = 2623213812
BaseRepresentation
bin111100001000100110…
…100101101001000000
320011122220200001211211
4330020212211221000
52024214110432231
645355034215504
74444035052102
oct741046455100
9204586601754
1064568842816
1125424479315
121061bb84594
13612018888a
1431a759d572
151a2d8ddeb1
hexf089a5a40

64568842816 has 63 divisors (see below), whose sum is σ = 134038883433. Its totient is φ = 30858389760.

The previous prime is 64568842813. The next prime is 64568842829. The reversal of 64568842816 is 61824886546.

It is a happy number.

The square root of 64568842816 is 254104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29345060416 + 35223782400 = 171304^2 + 187680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64568842813) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46754446 + ... + 46755826.

Almost surely, 264568842816 is an apocalyptic number.

64568842816 is the 254104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64568842816

64568842816 is an abundant number, since it is smaller than the sum of its proper divisors (69470040617).

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

64568842816 is an frugal number, since it uses more digits than its factorization.

64568842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 1406 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 58.

The spelling of 64568842816 in words is "sixty-four billion, five hundred sixty-eight million, eight hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1381 1472 2116 2762 4232 5524 8464 11048 16928 22096 31763 33856 44192 63526 88384 127052 254104 508208 730549 1016416 1461098 1907161 2032832 2922196 3814322 5844392 7628644 11688784 15257288 23377568 30514576 43864703 46755136 61029152 87729406 122058304 175458812 350917624 701835248 1008888169 1403670496 2017776338 2807340992 4035552676 8071105352 16142210704 32284421408 64568842816