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23444644432 = 24112110310979
BaseRepresentation
bin10101110101011010…
…001110001001010000
32020111220020100002011
4111311122032021100
5341003312110212
614434220032304
71456660122016
oct256532161120
966456210064
1023444644432
119a40988400
124663692694
132298232291
1411c59948b6
159233914a7
hex57568e250

23444644432 has 60 divisors (see below), whose sum is σ = 49978676160. Its totient is φ = 10646025280.

The previous prime is 23444644417. The next prime is 23444644453.

23444644432 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2129919 + ... + 2140897.

It is an arithmetic number, because the mean of its divisors is an integer number (832977936).

Almost surely, 223444644432 is an apocalyptic number.

23444644432 is a gapful number since it is divisible by the number (22) 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 23444644432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24989338080).

23444644432 is an abundant number, since it is smaller than the sum of its proper divisors (26534031728).

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

23444644432 is a wasteful number, since it uses less digits than its factorization.

23444644432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112 (or 12095 counting only the distinct ones).

The product of its digits is 884736, while the sum is 40.

The spelling of 23444644432 in words is "twenty-three billion, four hundred forty-four million, six hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1103 1936 2206 4412 8824 10979 12133 17648 21958 24266 43916 48532 87832 97064 120769 133463 175664 194128 241538 266926 483076 533852 966152 1067704 1328459 1932304 2135408 2656918 5313836 10627672 12109837 21255344 24219674 48439348 96878696 133208207 193757392 266416414 532832828 1065665656 1465290277 2131331312 2930580554 5861161108 11722322216 23444644432