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868585585868 = 2271113787275641
BaseRepresentation
bin11001010001110111011…
…11000011110011001100
310002000222020000111102122
430220323233003303030
5103212330402221433
61503004523312112
7116516234443220
oct14507357036314
93060866014378
10868585585868
11305401a12570
1212040767b638
1363ba4369790
143007b196780
15178d9662198
hexca3bbc3ccc

868585585868 has 96 divisors (see below), whose sum is σ = 2043473069568. Its totient is φ = 311980377600.

The previous prime is 868585585853. The next prime is 868585585897.

It is a happy number.

868585585868 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 868585585792 and 868585585801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3013328 + ... + 3288968.

It is an arithmetic number, because the mean of its divisors is an integer number (21286177808).

Almost surely, 2868585585868 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 868585585868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021736534784).

868585585868 is an abundant number, since it is smaller than the sum of its proper divisors (1174887483700).

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

868585585868 is a wasteful number, since it uses less digits than its factorization.

868585585868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276463 (or 276461 counting only the distinct ones).

The product of its digits is 5898240000, while the sum is 80.

The spelling of 868585585868 in words is "eight hundred sixty-eight billion, five hundred eighty-five million, five hundred eighty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 787 1001 1574 2002 3148 4004 5509 8657 10231 11018 17314 20462 22036 34628 40924 60599 71617 112541 121198 143234 225082 242396 275641 286468 450164 551282 787787 1102564 1575574 1929487 3032051 3151148 3583333 3858974 6064102 7166666 7717948 12128204 14333332 21224357 25083331 39416663 42448714 50166662 78833326 84897428 100333324 157666652 216929467 275916641 433858934 551833282 867717868 1103666564 1518506269 2386224137 2820083071 3037012538 4772448274 5640166142 6074025076 9544896548 11280332284 16703568959 19740581497 31020913781 33407137918 39481162994 62041827562 66814275836 78962325988 124083655124 217146396467 434292792934 868585585868