Search a number
-
+
23316722472260 = 22574310973530729
BaseRepresentation
bin1010100110100110110001…
…11101011101010101000100
310001120001112110221102021102
411103103120331131111010
511024010121423103020
6121331315431235232
74624402055616650
oct523233075352504
9101501473842242
1023316722472260
11747a625a73a18
122746b2b218b18
1310019b02a5629
145a876d171a60
152a67c4de0475
hex1534d8f5d544

23316722472260 has 96 divisors (see below), whose sum is σ = 57313746927360. Its totient is φ = 7801270622208.

The previous prime is 23316722472181. The next prime is 23316722472283. The reversal of 23316722472260 is 6227422761332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4838576 + ... + 8369304.

It is an arithmetic number, because the mean of its divisors is an integer number (597018197160).

Almost surely, 223316722472260 is an apocalyptic number.

23316722472260 is a gapful number since it is divisible by the number (20) 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 23316722472260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28656873463680).

23316722472260 is an abundant number, since it is smaller than the sum of its proper divisors (33997024455100).

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

23316722472260 is a wasteful number, since it uses less digits than its factorization.

23316722472260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531885 (or 3531883 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 47.

The spelling of 23316722472260 in words is "twenty-three trillion, three hundred sixteen billion, seven hundred twenty-two million, four hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1097 1204 1505 2194 3010 4388 5485 6020 7679 10970 15358 21940 30716 38395 47171 76790 94342 153580 188684 235855 330197 471710 660394 943420 1320788 1650985 3301970 3530729 6603940 7061458 14122916 17653645 24715103 35307290 49430206 70614580 98860412 123575515 151821347 247151030 303642694 494302060 607285388 759106735 1062749429 1518213470 2125498858 3036426940 3873209713 4250997716 5313747145 7746419426 10627494290 15492838852 19366048565 21254988580 27112467991 38732097130 54224935982 77464194260 108449871964 135562339955 166548017659 271124679910 333096035318 542249359820 666192070636 832740088295 1165836123613 1665480176590 2331672247226 3330960353180 4663344494452 5829180618065 11658361236130 23316722472260