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123642061104 = 24331142758229
BaseRepresentation
bin111001100100110100…
…1000010000100110000
3102211010211100111002110
41303021221002010300
54011204331423404
6132444514245320
711634652115232
oct1631151020460
9384124314073
10123642061104
11484887a1581
121bb67586840
13b875903203
145dacd24252
153339ac4b89
hex1cc9a42130

123642061104 has 80 divisors (see below), whose sum is σ = 329948881920. Its totient is φ = 39855901440.

The previous prime is 123642061087. The next prime is 123642061111. The reversal of 123642061104 is 401160246321.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2094262 + ... + 2152490.

It is an arithmetic number, because the mean of its divisors is an integer number (4124361024).

Almost surely, 2123642061104 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 123642061104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164974440960).

123642061104 is an abundant number, since it is smaller than the sum of its proper divisors (206306820816).

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

123642061104 is a wasteful number, since it uses less digits than its factorization.

123642061104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59698 (or 59692 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 123642061104 in words is "one hundred twenty-three billion, six hundred forty-two million, sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1427 1488 2854 4281 5708 8562 11416 17124 22832 34248 44237 58229 68496 88474 116458 132711 174687 176948 232916 265422 349374 353896 465832 530844 698748 707792 931664 1061688 1397496 1805099 2123376 2794992 3610198 5415297 7220396 10830594 14440792 21661188 28881584 43322376 83092783 86644752 166185566 249278349 332371132 498556698 664742264 997113396 1329484528 1994226792 2575876273 3988453584 5151752546 7727628819 10303505092 15455257638 20607010184 30910515276 41214020368 61821030552 123642061104