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10159011852 = 223111073172269
BaseRepresentation
bin10010111011000011…
…00011100000001100
3222012222222021101020
421131201203200030
5131301201334402
64400022514140
7506515114233
oct113541434014
928188867336
1010159011852
114343551a70
121b76295950
13c5b923222
146c5315b1a
153e6d1c8bc
hex25d86380c

10159011852 has 96 divisors (see below), whose sum is σ = 26194855680. Its totient is φ = 3038757120.

The previous prime is 10159011851. The next prime is 10159011869. The reversal of 10159011852 is 25811095101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10159011851) 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, 4476174 + ... + 4478442.

It is an arithmetic number, because the mean of its divisors is an integer number (272863080).

Almost surely, 210159011852 is an apocalyptic number.

10159011852 is a gapful number since it is divisible by the number (12) 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 10159011852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13097427840).

10159011852 is an abundant number, since it is smaller than the sum of its proper divisors (16035843828).

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

10159011852 is a wasteful number, since it uses less digits than its factorization.

10159011852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 33.

The spelling of 10159011852 in words is "ten billion, one hundred fifty-nine million, eleven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 317 321 428 634 642 951 1177 1268 1284 1902 2269 2354 3487 3531 3804 4538 4708 6807 6974 7062 9076 10461 13614 13948 14124 20922 24959 27228 33919 41844 49918 67838 74877 99836 101757 135676 149754 203514 242783 299508 373109 407028 485566 719273 728349 746218 971132 1119327 1438546 1456698 1492436 2157819 2238654 2670613 2877092 2913396 4315638 4477308 5341226 7912003 8011839 8631276 10682452 15824006 16023678 23736009 31648012 32047356 47472018 76962211 94944036 153924422 230886633 307848844 461773266 846584321 923546532 1693168642 2539752963 3386337284 5079505926 10159011852