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8090636688 = 2432293375749
BaseRepresentation
bin1111000100011110…
…10101000110010000
3202212211221221001200
413202033111012100
5113032200333223
63414454231200
7404331164031
oct74217250620
922784857050
108090636688
113481a54102
121699655500
139bc258ab4
1456a73ca88
15325450a43
hex1e23d5190

8090636688 has 120 divisors (see below), whose sum is σ = 23496915000. Its totient is φ = 2595704832.

The previous prime is 8090636627. The next prime is 8090636693. The reversal of 8090636688 is 8866360908.

It can be written as a sum of positive squares in 4 ways, for example, as 14379264 + 8076257424 = 3792^2 + 89868^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1404438 + ... + 1410186.

It is an arithmetic number, because the mean of its divisors is an integer number (195807625).

Almost surely, 28090636688 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 8090636688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748457500).

8090636688 is an abundant number, since it is smaller than the sum of its proper divisors (15406278312).

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

8090636688 is a wasteful number, since it uses less digits than its factorization.

8090636688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 8090636688 is about 89947.9665584498. The cubic root of 8090636688 is about 2007.5247111892.

The spelling of 8090636688 in words is "eight billion, ninety million, six hundred thirty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 337 348 464 522 674 696 1011 1044 1348 1392 2022 2088 2696 3033 4044 4176 5392 5749 6066 8088 9773 11498 12132 16176 17247 19546 22996 24264 29319 34494 39092 45992 48528 51741 58638 68988 78184 87957 91984 103482 117276 137976 156368 166721 175914 206964 234552 275952 333442 351828 413928 469104 500163 666884 703656 827856 1000326 1333768 1407312 1500489 1937413 2000652 2667536 3000978 3874826 4001304 5812239 6001956 7749652 8002608 11624478 12003912 15499304 17436717 23248956 24007824 30998608 34873434 46497912 56184977 69746868 92995824 112369954 139493736 168554931 224739908 278987472 337109862 449479816 505664793 674219724 898959632 1011329586 1348439448 2022659172 2696878896 4045318344 8090636688