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8640615816 = 233379416073
BaseRepresentation
bin10000000110000010…
…10101010110001000
3211022011211202121000
420003001111112020
5120143444201231
63545222215000
7424060010520
oct100301252610
924264752530
108640615816
113734447608
121811884460
13a7918c931
145bd7c4680
1535888c6e6
hex203055588

8640615816 has 128 divisors (see below), whose sum is σ = 27464198400. Its totient is φ = 2465717760.

The previous prime is 8640615803. The next prime is 8640615821. The reversal of 8640615816 is 6185160468.

8640615816 is a `hidden beast` number, since 8 + 6 + 4 + 0 + 61 + 581 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419756 + ... + 1425828.

It is an arithmetic number, because the mean of its divisors is an integer number (214564050).

Almost surely, 28640615816 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 8640615816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13732099200).

8640615816 is an abundant number, since it is smaller than the sum of its proper divisors (18823582584).

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

8640615816 is a wasteful number, since it uses less digits than its factorization.

8640615816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8640615816 is about 92954.9128126104. The cubic root of 8640615816 is about 2052.0198862681.

The spelling of 8640615816 in words is "eight billion, six hundred forty million, six hundred fifteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 941 1512 1882 2823 3764 5646 6073 6587 7528 8469 11292 12146 13174 16938 18219 19761 22584 24292 25407 26348 33876 36438 39522 42511 48584 50814 52696 54657 59283 67752 72876 79044 85022 101628 109314 118566 127533 145752 158088 163971 170044 177849 203256 218628 237132 255066 327942 340088 355698 382599 437256 474264 510132 655884 711396 765198 1020264 1147797 1311768 1422792 1530396 2295594 3060792 4591188 5714693 9182376 11429386 17144079 22858772 34288158 40002851 45717544 51432237 68576316 80005702 102864474 120008553 137152632 154296711 160011404 205728948 240017106 308593422 320022808 360025659 411457896 480034212 617186844 720051318 960068424 1080076977 1234373688 1440102636 2160153954 2880205272 4320307908 8640615816