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86434169520 = 24351091330103
BaseRepresentation
bin101000001111111100…
…0001100001010110000
322021002202010202021210
41100133320030022300
52404004121411040
6103412440120120
76146630214216
oct1203770141260
9267082122253
1086434169520
1133724920956
1214902766040
1381c6146c0a
14427d4c4cb6
1523ad2b9480
hex141fe0c2b0

86434169520 has 80 divisors (see below), whose sum is σ = 268192334592. Its totient is φ = 23027915520.

The previous prime is 86434169519. The next prime is 86434169537. The reversal of 86434169520 is 2596143468.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×864341695202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86434169520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96789 + ... + 426891.

Almost surely, 286434169520 is an apocalyptic number.

86434169520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86434169520 is an abundant number, since it is smaller than the sum of its proper divisors (181758165072).

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

86434169520 is a wasteful number, since it uses less digits than its factorization.

86434169520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331210 (or 331204 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 86434169520 in words is "eighty-six billion, four hundred thirty-four million, one hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1091 2182 3273 4364 5455 6546 8728 10910 13092 16365 17456 21820 26184 32730 43640 52368 65460 87280 130920 261840 330103 660206 990309 1320412 1650515 1980618 2640824 3301030 3961236 4951545 5281648 6602060 7922472 9903090 13204120 15844944 19806180 26408240 39612360 79224720 360142373 720284746 1080427119 1440569492 1800711865 2160854238 2881138984 3601423730 4321708476 5402135595 5762277968 7202847460 8643416952 10804271190 14405694920 17286833904 21608542380 28811389840 43217084760 86434169520