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86469560640 = 263453336017
BaseRepresentation
bin101000010000111111…
…1001100100101000000
322021012012201210210000
41100201333030211000
52404042201420030
6103420142440000
76150540065301
oct1204177144500
9267165653700
1086469560640
11337428a3811
1214912593000
1382005889c8
1442840987a8
1523b145a860
hex1421fcc940

86469560640 has 140 divisors (see below), whose sum is σ = 307587531636. Its totient is φ = 23058542592.

The previous prime is 86469560581. The next prime is 86469560659. The reversal of 86469560640 is 4606596468.

86469560640 is a `hidden beast` number, since 86 + 469 + 5 + 60 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56385351936 + 30084208704 = 237456^2 + 173448^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1642089 + ... + 1693928.

Almost surely, 286469560640 is an apocalyptic number.

86469560640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86469560640 is an abundant number, since it is smaller than the sum of its proper divisors (221117970996).

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

86469560640 is a wasteful number, since it uses less digits than its factorization.

86469560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336046 (or 3336027 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 86469560640 in words is "eighty-six billion, four hundred sixty-nine million, five hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 3336017 6672034 10008051 13344068 16680085 20016102 26688136 30024153 33360170 40032204 50040255 53376272 60048306 66720340 80064408 90072459 100080510 106752544 120096612 133440680 150120765 160128816 180144918 200161020 213505088 240193224 266881360 270217377 300241530 320257632 360289836 400322040 450362295 480386448 533762720 540434754 600483060 640515264 720579672 800644080 900724590 960772896 1067525440 1080869508 1200966120 1351086885 1441159344 1601288160 1801449180 1921545792 2161739016 2401932240 2702173770 2882318688 3202576320 3602898360 4323478032 4803864480 5404347540 5764637376 7205796720 8646956064 9607728960 10808695080 14411593440 17293912128 21617390160 28823186880 43234780320 86469560640