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20390129136 = 2433139074003
BaseRepresentation
bin10010111111010110…
…001010110111110000
31221122000121212211000
4102333112022313300
5313224333113021
613211143122000
71321200144426
oct227726126760
957560555730
1020390129136
1187137728a3
123b50743300
131bcc471390
14db603b116
157e512eb26
hex4bf58adf0

20390129136 has 160 divisors (see below), whose sum is σ = 63114571520. Its totient is φ = 6265403136.

The previous prime is 20390129093. The next prime is 20390129153. The reversal of 20390129136 is 63192109302.

It is a happy number.

It is a super-2 number, since 2×203901291362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20390129136.

It is a congruent number.

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, 5091711 + ... + 5095713.

It is an arithmetic number, because the mean of its divisors is an integer number (394466072).

Almost surely, 220390129136 is an apocalyptic number.

20390129136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20390129136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31557285760).

20390129136 is an abundant number, since it is smaller than the sum of its proper divisors (42724442384).

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

20390129136 is a wasteful number, since it uses less digits than its factorization.

20390129136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 20390129136 in words is "twenty billion, three hundred ninety million, one hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 907 936 1404 1814 1872 2721 2808 3628 4003 5442 5616 7256 8006 8163 10884 11791 12009 14512 16012 16326 21768 23582 24018 24489 32024 32652 35373 36027 43536 47164 48036 48978 52039 64048 65304 70746 72054 94328 96072 97956 104078 106119 108081 130608 141492 144108 156117 188656 192144 195912 208156 212238 216162 282984 288216 312234 318357 391824 416312 424476 432324 468351 565968 576432 624468 636714 832624 848952 864648 936702 1248936 1273428 1405053 1697904 1729296 1873404 2497872 2546856 2810106 3630721 3746808 5093712 5620212 7261442 7493616 10892163 11240424 14522884 21784326 22480848 29045768 32676489 43568652 47199373 58091536 65352978 87137304 94398746 98029467 130705956 141598119 174274608 188797492 196058934 261411912 283196238 377594984 392117868 424794357 522823824 566392476 755189968 784235736 849588714 1132784952 1274383071 1568471472 1699177428 2265569904 2548766142 3398354856 5097532284 6796709712 10195064568 20390129136