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20388883608 = 23322982911779
BaseRepresentation
bin10010111111010001…
…011010110010011000
31221121221021121021100
4102333101122302120
5313224023233413
613211100311400
71321153436232
oct227721326230
957557247240
1020388883608
118712aa2035
123b50242560
131bcc126492
14db5bd5252
157e4e85a73
hex4bf45ac98

20388883608 has 96 divisors (see below), whose sum is σ = 57197790000. Its totient is φ = 6553467648.

The previous prime is 20388883607. The next prime is 20388883609. The reversal of 20388883608 is 80638888302.

20388883608 is a `hidden beast` number, since 20 + 3 + 8 + 8 + 8 + 8 + 3 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (20388883607) and next prime (20388883609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20388883607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1725063 + ... + 1736841.

Almost surely, 220388883608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20388883608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28598895000).

20388883608 is an abundant number, since it is smaller than the sum of its proper divisors (36808906392).

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

20388883608 is a wasteful number, since it uses less digits than its factorization.

20388883608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12649 (or 12642 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

It can be divided in two parts, 203888 and 83608, that added together give a cube (287496 = 663).

The spelling of 20388883608 in words is "twenty billion, three hundred eighty-eight million, eight hundred eighty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 829 1044 1658 2088 2487 3316 4974 6632 7461 9948 11779 14922 19896 23558 24041 29844 35337 47116 48082 59688 70674 72123 94232 96164 106011 141348 144246 192328 212022 216369 282696 288492 341591 424044 432738 576984 683182 848088 865476 1024773 1366364 1730952 2049546 2732728 3074319 4099092 6148638 8198184 9764791 12297276 19529582 24594552 29294373 39059164 58588746 78118328 87883119 117177492 175766238 234354984 283178939 351532476 566357878 703064952 849536817 1132715756 1699073634 2265431512 2548610451 3398147268 5097220902 6796294536 10194441804 20388883608