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86572388364 = 223721121216793
BaseRepresentation
bin101000010100000011…
…1011101000000001100
322021110101012222220020
41100220013131000030
52404300012411424
6103434254422140
76153226105500
oct1205007350014
9267411188806
1086572388364
1133795946800
1214940b01950
13821897c607
1442939c4300
1523ba4bd079
hex14281dd00c

86572388364 has 108 divisors (see below), whose sum is σ = 258286428792. Its totient is φ = 22486316160.

The previous prime is 86572388363. The next prime is 86572388369. The reversal of 86572388364 is 46388327568.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86572388298 and 86572388307.

It is not an unprimeable number, because it can be changed into a prime (86572388363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 537249 + ... + 679544.

Almost surely, 286572388364 is an apocalyptic number.

86572388364 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86572388364 is an abundant number, since it is smaller than the sum of its proper divisors (171714040428).

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

86572388364 is a wasteful number, since it uses less digits than its factorization.

86572388364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216836 (or 1216816 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

The spelling of 86572388364 in words is "eighty-six billion, five hundred seventy-two million, three hundred eighty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 1078 1452 1617 1694 2156 2541 3234 3388 5082 5929 6468 10164 11858 17787 23716 35574 71148 1216793 2433586 3650379 4867172 7300758 8517551 13384723 14601516 17035102 25552653 26769446 34070204 40154169 51105306 53538892 59622857 80308338 93693061 102210612 119245714 147231953 160616676 178868571 187386122 238491428 281079183 294463906 357737142 374772244 441695859 562158366 588927812 655851427 715474284 883391718 1030623671 1124316732 1311702854 1766783436 1967554281 2061247342 2623405708 3091871013 3935108562 4122494684 6183742026 7214365697 7870217124 12367484052 14428731394 21643097091 28857462788 43286194182 86572388364