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8916728864 = 253713215701
BaseRepresentation
bin10000100110111101…
…00111110000100000
3212000102101202111012
420103132213300200
5121230140310424
64032444240052
7433651642031
oct102336476040
925012352435
108916728864
11386629640a
12188a240028
13ac1446034
1460833aa88
15372c2db0e
hex2137a7c20

8916728864 has 48 divisors (see below), whose sum is σ = 18046077336. Its totient is φ = 4333824000.

The previous prime is 8916728819. The next prime is 8916728867. The reversal of 8916728864 is 4688276198.

It can be written as a sum of positive squares in 4 ways, for example, as 8225038864 + 691690000 = 90692^2 + 26300^2 .

It is not an unprimeable number, because it can be changed into a prime (8916728867) 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, 1561214 + ... + 1566914.

Almost surely, 28916728864 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 8916728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023038668).

8916728864 is an abundant number, since it is smaller than the sum of its proper divisors (9129348472).

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

8916728864 is a wasteful number, since it uses less digits than its factorization.

8916728864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7061 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 59.

The square root of 8916728864 is about 94428.4324978446. The cubic root of 8916728864 is about 2073.6487153280.

The spelling of 8916728864 in words is "eight billion, nine hundred sixteen million, seven hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1321 2642 5284 5701 10568 11402 21136 22804 42272 45608 48877 91216 97754 182432 195508 210937 391016 421874 782032 843748 1564064 1687496 3374992 6749984 7531021 15062042 30124084 60248168 120496336 240992672 278647777 557295554 1114591108 2229182216 4458364432 8916728864