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22861934464 = 271277871787
BaseRepresentation
bin10101010010101011…
…010110111110000000
32012000021202121021111
4111102223112332000
5333310123400324
614300322333104
71436353144105
oct252253267600
965007677244
1022861934464
119771a69816
1245204ba194
1322045ab495
14116c42caac
158dc13b794
hex552ad6f80

22861934464 has 64 divisors (see below), whose sum is σ = 45987932160. Its totient is φ = 11320210944.

The previous prime is 22861934453. The next prime is 22861934497. The reversal of 22861934464 is 46443916822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12792579 + ... + 12794365.

It is an arithmetic number, because the mean of its divisors is an integer number (718561440).

Almost surely, 222861934464 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 22861934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22993966080).

22861934464 is an abundant number, since it is smaller than the sum of its proper divisors (23125997696).

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

22861934464 is a wasteful number, since it uses less digits than its factorization.

22861934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2703 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 49.

The spelling of 22861934464 in words is "twenty-two billion, eight hundred sixty-one million, nine hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 787 1016 1574 1787 2032 3148 3574 4064 6296 7148 8128 12592 14296 16256 25184 28592 50368 57184 99949 100736 114368 199898 226949 228736 399796 453898 799592 907796 1406369 1599184 1815592 2812738 3198368 3631184 5625476 6396736 7262368 11250952 12793472 14524736 22501904 29049472 45003808 90007616 178608863 180015232 357217726 714435452 1428870904 2857741808 5715483616 11430967232 22861934464