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22961253616 = 2474119925127
BaseRepresentation
bin10101011000100110…
…001110110011110000
32012021012122112112121
4111120212032303300
5334011040103431
614314231204024
71442000302240
oct253046166360
965235575477
1022961253616
119813035764
124549816614
13221c044102
14117b6c3b20
158e5c09611
hex55898ecf0

22961253616 has 80 divisors (see below), whose sum is σ = 52346649600. Its totient is φ = 9551900160.

The previous prime is 22961253571. The next prime is 22961253641. The reversal of 22961253616 is 61635216922.

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 15 ways as a sum of consecutive naturals, for example, 901245 + ... + 926371.

It is an arithmetic number, because the mean of its divisors is an integer number (654333120).

Almost surely, 222961253616 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 22961253616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26173324800).

22961253616 is an abundant number, since it is smaller than the sum of its proper divisors (29385395984).

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

22961253616 is a wasteful number, since it uses less digits than its factorization.

22961253616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25382 (or 25376 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The spelling of 22961253616 in words is "twenty-two billion, nine hundred sixty-one million, two hundred fifty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 199 287 328 398 574 656 796 1148 1393 1592 2296 2786 3184 4592 5572 8159 11144 16318 22288 25127 32636 50254 57113 65272 100508 114226 130544 175889 201016 228452 351778 402032 456904 703556 913808 1030207 1407112 2060414 2814224 4120828 5000273 7211449 8241656 10000546 14422898 16483312 20001092 28845796 35001911 40002184 57691592 70003822 80004368 115383184 140007644 205011193 280015288 410022386 560030576 820044772 1435078351 1640089544 2870156702 3280179088 5740313404 11480626808 22961253616