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20268058044 = 22313319743207
BaseRepresentation
bin10010111000000100…
…100000010110111100
31221022111221000202110
4102320010200112330
5313002110324134
613151102454020
71315155436143
oct227004402674
957274830673
1020268058044
118660876aa3
123b17894310
131bb00a0870
14da3b4275a
157d956a7e9
hex4b81205bc

20268058044 has 96 divisors (see below), whose sum is σ = 53116112896. Its totient is φ = 5972797440.

The previous prime is 20268058033. The next prime is 20268058049. The reversal of 20268058044 is 44085086202.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 20268057993 and 20268058011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20268058049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447489 + ... + 490695.

Almost surely, 220268058044 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 20268058044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26558056448).

20268058044 is an abundant number, since it is smaller than the sum of its proper divisors (32848054852).

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

20268058044 is a wasteful number, since it uses less digits than its factorization.

20268058044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43355 (or 43353 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 20268058044 in words is "twenty billion, two hundred sixty-eight million, fifty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 97 124 156 186 194 291 372 388 403 582 806 1164 1209 1261 1612 2418 2522 3007 3783 4836 5044 6014 7566 9021 12028 15132 18042 36084 39091 43207 78182 86414 117273 129621 156364 172828 234546 259242 469092 518484 561691 1123382 1339417 1685073 2246764 2678834 3370146 4018251 4191079 5357668 6740292 8036502 8382158 12573237 16073004 16764316 17412421 25146474 34824842 50292948 52237263 54484027 69649684 104474526 108968054 129923449 163452081 208949052 217936108 259846898 326904162 389770347 519693796 653808324 779540694 1559081388 1689004837 3378009674 5067014511 6756019348 10134029022 20268058044