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5686377864 = 23331113239283
BaseRepresentation
bin1010100101110111…
…10011110110001000
3112200021220220222120
411102323303312020
543121203042424
62340130451240
7260625262056
oct52273636610
915607826876
105686377864
1124588a2942
121128433b20
136c810b83b
143bd2d11d6
15234337a79
hex152ef3d88

5686377864 has 128 divisors (see below), whose sum is σ = 14918860800. Its totient is φ = 1804078080.

The previous prime is 5686377857. The next prime is 5686377881. The reversal of 5686377864 is 4687736865.

It is a junction number, because it is equal to n+sod(n) for n = 5686377798 and 5686377807.

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, 20093067 + ... + 20093349.

It is an arithmetic number, because the mean of its divisors is an integer number (116553600).

Almost surely, 25686377864 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 5686377864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459430400).

5686377864 is an abundant number, since it is smaller than the sum of its proper divisors (9232482936).

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

5686377864 is a wasteful number, since it uses less digits than its factorization.

5686377864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 671 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The square root of 5686377864 is about 75408.0755887591. The cubic root of 5686377864 is about 1784.8918444618.

The spelling of 5686377864 in words is "five billion, six hundred eighty-six million, three hundred seventy-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 113 124 186 226 239 248 283 339 372 452 478 566 678 717 744 849 904 956 1132 1356 1434 1698 1912 2264 2712 2868 3396 3503 5736 6792 7006 7409 8773 10509 14012 14818 17546 21018 22227 26319 27007 28024 29636 31979 35092 42036 44454 52638 54014 59272 63958 67637 70184 81021 84072 88908 95937 105276 108028 127916 135274 162042 177816 191874 202911 210552 216056 255832 270548 324084 383748 405822 541096 648168 767496 811644 837217 991349 1623288 1674434 1982698 2096747 2511651 2974047 3348868 3965396 4193494 5023302 5948094 6290241 6697736 7642981 7930792 8386988 10046604 11896188 12580482 15285962 16773976 20093208 22928943 23792376 25160964 30571924 45857886 50321928 61143848 91715772 183431544 236932411 473864822 710797233 947729644 1421594466 1895459288 2843188932 5686377864