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104142872262 = 2311135313991637
BaseRepresentation
bin110000011111101100…
…1100001111011000110
3100221210220012001121010
41200333121201323012
53201241033403022
6115501555103050
710344520544202
oct1407731417306
9327726161533
10104142872262
1140191a33380
12182252a1a86
139a88c05950
14507d365b02
152a97cd250c
hex183f661ec6

104142872262 has 128 divisors (see below), whose sum is σ = 249646924800. Its totient is φ = 28543357440.

The previous prime is 104142872243. The next prime is 104142872263. The reversal of 104142872262 is 262278241401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104142872262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104142872263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63617308 + ... + 63618944.

It is an arithmetic number, because the mean of its divisors is an integer number (1950366600).

Almost surely, 2104142872262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104142872262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124823462400).

104142872262 is an abundant number, since it is smaller than the sum of its proper divisors (145504052538).

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

104142872262 is a wasteful number, since it uses less digits than its factorization.

104142872262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118.

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 104142872262 in words is "one hundred four billion, one hundred forty-two million, eight hundred seventy-two thousand, two hundred sixty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 286 318 429 583 689 858 1166 1378 1399 1637 1749 2067 2798 3274 3498 4134 4197 4911 7579 8394 9822 15158 15389 18007 18187 21281 22737 30778 36014 36374 42562 45474 46167 54021 54561 63843 74147 86761 92334 108042 109122 127686 148294 173522 200057 222441 234091 260283 400114 444882 468182 520566 600171 702273 815617 954371 963911 1127893 1200342 1404546 1631234 1908742 1927822 2255786 2290163 2446851 2863113 2891733 3383679 4580326 4893702 5726226 5783466 6767358 6870489 10603021 12406823 13740978 21206042 24813646 25191793 29772119 31809063 37220469 50383586 59544238 63618126 74440938 75575379 89316357 121378639 151150758 178632714 242757278 327493309 364135917 654986618 728271834 982479927 1335165029 1577922307 1964959854 2670330058 3155844614 4005495087 4733766921 8010990174 9467533842 17357145377 34714290754 52071436131 104142872262