Search a number
-
+
109922332536 = 233210382717923
BaseRepresentation
bin110011001011111100…
…0011010111101111000
3101111201200021001122100
41212113320122331320
53300110104120121
6122255253023400
710640656260462
oct1462770327570
9344650231570
10109922332536
1142688322425
1219378924b60
13a49a3a5423
14546ab67132
152cd53a5026
hex1997e1af78

109922332536 has 96 divisors (see below), whose sum is σ = 300976940160. Its totient is φ = 36239144256.

The previous prime is 109922332501. The next prime is 109922332547. The reversal of 109922332536 is 635233229901.

It is a happy number.

109922332536 is a `hidden beast` number, since 1 + 0 + 9 + 92 + 23 + 3 + 2 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 109922332491 and 109922332500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6124071 + ... + 6141993.

It is an arithmetic number, because the mean of its divisors is an integer number (3135176460).

Almost surely, 2109922332536 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 109922332536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150488470080).

109922332536 is an abundant number, since it is smaller than the sum of its proper divisors (191054607624).

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

109922332536 is a wasteful number, since it uses less digits than its factorization.

109922332536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18865 (or 18858 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 109922332536 in words is "one hundred nine billion, nine hundred twenty-two million, three hundred thirty-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 827 927 1236 1654 1854 2472 2481 3308 3708 4962 6616 7416 7443 9924 14886 17923 19848 29772 35846 53769 59544 71692 85181 107538 143384 161307 170362 215076 255543 322614 340724 430152 511086 645228 681448 766629 1022172 1290456 1533258 1846069 2044344 3066516 3692138 5538207 6133032 7384276 11076414 14768552 14822321 16614621 22152828 29644642 33229242 44305656 44466963 59289284 66458484 88933926 118578568 132916968 133400889 177867852 266801778 355735704 533603556 1067207112 1526699063 3053398126 4580097189 6106796252 9160194378 12213592504 13740291567 18320388756 27480583134 36640777512 54961166268 109922332536