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86008253331 = 37112132989783
BaseRepresentation
bin101000000011001111…
…1011100101110010011
322020000001200222010010
41100012133130232103
52402121103101311
6103302303210003
76133236043110
oct1200637345623
9266001628103
1086008253331
1133526464800
1214803ba6903
138158b303c0
14423cad5907
152385bd6da6
hex14067dcb93

86008253331 has 96 divisors (see below), whose sum is σ = 160490695680. Its totient is φ = 39820112640.

The previous prime is 86008253297. The next prime is 86008253347. The reversal of 86008253331 is 13335280068.

It is not a de Polignac number, because 86008253331 - 26 = 86008253267 is a prime.

It is a super-2 number, since 2×860082533312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 86008253331.

It is not an unprimeable number, because it can be changed into a prime (86008253131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 913066 + ... + 1002848.

It is an arithmetic number, because the mean of its divisors is an integer number (1671778080).

Almost surely, 286008253331 is an apocalyptic number.

86008253331 is a deficient number, since it is larger than the sum of its proper divisors (74482442349).

86008253331 is a wasteful number, since it uses less digits than its factorization.

86008253331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89857 (or 89846 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 86008253331 in words is "eighty-six billion, eight million, two hundred fifty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 29 33 39 77 87 91 121 143 203 231 273 319 363 377 429 609 847 957 1001 1131 1573 2233 2541 2639 3003 3509 4147 4719 6699 7917 10527 11011 12441 24563 29029 33033 45617 73689 87087 89783 136851 269349 319319 628481 957957 987613 1167179 1885443 2603707 2962839 3501537 6913291 7811121 8170253 10863743 12838969 18225949 20739873 24510759 28640777 32591229 33848191 38516907 54677847 76046201 85922331 89872783 101544573 141228659 200485439 228138603 236937337 269618349 315048547 372330101 423685977 601456317 710812011 945145641 988600613 1116990303 2205339829 2606310707 2965801839 4095631111 6616019487 7818932121 12286893333 28669417777 86008253331