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8865640080 = 24335111747467
BaseRepresentation
bin10000100000110111…
…01110111010010000
3211212212021011212000
420100123232322100
5121124100440310
64023421234000
7432461461113
oct102033567220
924785234760
108865640080
11383a471680
121875102900
13ab399919b
1460163c57a
1536d4db4c0
hex2106eee90

8865640080 has 640 divisors, whose sum is σ = 36100546560. Its totient is φ = 1975541760.

The previous prime is 8865640079. The next prime is 8865640109. The reversal of 8865640080 is 800465688.

8865640080 is a `hidden beast` number, since 8 + 8 + 6 + 564 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18984007 + ... + 18984473.

It is an arithmetic number, because the mean of its divisors is an integer number (56407104).

Almost surely, 28865640080 is an apocalyptic number.

8865640080 is a gapful number since it is divisible by the number (80) 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 8865640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050273280).

8865640080 is an abundant number, since it is smaller than the sum of its proper divisors (27234906480).

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

8865640080 is a wasteful number, since it uses less digits than its factorization.

8865640080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8865640080 is about 94157.5280049344. The cubic root of 8865640080 is about 2069.6807741294.

The spelling of 8865640080 in words is "eight billion, eight hundred sixty-five million, six hundred forty thousand, eighty".