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21653147616 = 2532392773407
BaseRepresentation
bin10100001010101000…
…001100111111100000
32001220001012212110020
4110022220030333200
5323321201210431
613540342033440
71364404501152
oct241250147740
961801185406
1021653147616
119201701321
124243718880
13207102b6a9
141095a92ad2
1586ae67696
hex50aa0cfe0

21653147616 has 96 divisors (see below), whose sum is σ = 57300203520. Its totient is φ = 7159466496.

The previous prime is 21653147611. The next prime is 21653147617. The reversal of 21653147616 is 61674135612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21653147611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6353785 + ... + 6357191.

It is an arithmetic number, because the mean of its divisors is an integer number (596877120).

Almost surely, 221653147616 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 21653147616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28650101760).

21653147616 is an abundant number, since it is smaller than the sum of its proper divisors (35647055904).

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

21653147616 is a wasteful number, since it uses less digits than its factorization.

21653147616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3928 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 21653147616 in words is "twenty-one billion, six hundred fifty-three million, one hundred forty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 277 478 554 717 831 956 1108 1434 1662 1912 2216 2868 3324 3407 3824 4432 5736 6648 6814 7648 8864 10221 11472 13296 13628 20442 22944 26592 27256 40884 54512 66203 81768 109024 132406 163536 198609 264812 327072 397218 529624 794436 814273 943739 1059248 1588872 1628546 1887478 2118496 2442819 2831217 3177744 3257092 3774956 4885638 5662434 6355488 6514184 7549912 9771276 11324868 13028368 15099824 19542552 22649736 26056736 30199648 39085104 45299472 78170208 90598944 225553621 451107242 676660863 902214484 1353321726 1804428968 2706643452 3608857936 5413286904 7217715872 10826573808 21653147616