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82089585918 = 2361919914891
BaseRepresentation
bin100110001110011101…
…0111010110011111110
321211212222001001000000
41030130322322303332
52321104413222133
6101413400415130
75634153652554
oct1143472726376
9254788031000
1082089585918
11318a548199a
1213aab7774a6
1379830177a2
143d8a4b3bd4
152206b7a413
hex131cebacfe

82089585918 has 112 divisors (see below), whose sum is σ = 195323472000. Its totient is φ = 25791028560.

The previous prime is 82089585917. The next prime is 82089585931. The reversal of 82089585918 is 81958598028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82089585917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5505253 + ... + 5520143.

Almost surely, 282089585918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82089585918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97661736000).

82089585918 is an abundant number, since it is smaller than the sum of its proper divisors (113233886082).

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

82089585918 is a wasteful number, since it uses less digits than its factorization.

82089585918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15129 (or 15114 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 63.

The spelling of 82089585918 in words is "eighty-two billion, eighty-nine million, five hundred eighty-five thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 199 243 342 398 486 513 597 729 1026 1194 1458 1539 1791 3078 3582 3781 4617 5373 7562 9234 10746 11343 13851 14891 16119 22686 27702 29782 32238 34029 44673 48357 68058 89346 96714 102087 134019 145071 204174 268038 282929 290142 306261 402057 565858 612522 804114 848787 918783 1206171 1697574 1837566 2412342 2546361 2756349 2963309 3618513 5092722 5512698 5926618 7237026 7639083 8889927 10855539 15278166 17779854 21711078 22917249 26669781 45834498 53339562 56302871 68751747 80009343 112605742 137503494 160018686 168908613 206255241 240028029 337817226 412510482 480056058 506725839 720084087 1013451678 1440168174 1520177517 2160252261 3040355034 4320504522 4560532551 9121065102 13681597653 27363195306 41044792959 82089585918