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23279444442 = 2331973930703
BaseRepresentation
bin10101101011100100…
…000010000111011010
32020002101101022022000
4111223210002013122
5340134014210232
614405555141430
71452613004262
oct255344020732
966071338260
1023279444442
119966704191
1246182a4876
13226cc409c7
1411aba707a2
15913b0d27c
hex56b9021da

23279444442 has 64 divisors (see below), whose sum is σ = 54530304000. Its totient is φ = 7341216624.

The previous prime is 23279444437. The next prime is 23279444459. The reversal of 23279444442 is 24444497232.

23279444442 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742863 + ... + 773565.

It is an arithmetic number, because the mean of its divisors is an integer number (852036000).

Almost surely, 223279444442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23279444442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27265152000).

23279444442 is an abundant number, since it is smaller than the sum of its proper divisors (31250859558).

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

23279444442 is a wasteful number, since it uses less digits than its factorization.

23279444442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31472 (or 31466 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 23279444442 in words is "twenty-three billion, two hundred seventy-nine million, four hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 739 1026 1478 2217 4434 6651 13302 14041 19953 28082 30703 39906 42123 61406 84246 92109 126369 184218 252738 276327 379107 552654 583357 758214 828981 1166714 1657962 1750071 3500142 5250213 10500426 15750639 22689517 31501278 45379034 68068551 136137102 204205653 408411306 431100823 612616959 862201646 1225233918 1293302469 2586604938 3879907407 7759814814 11639722221 23279444442