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23638816313 = 71929103157379
BaseRepresentation
bin10110000000111110…
…111011011000111001
32021000102121021211022
4112000332323120321
5341403014110223
614505353512225
71464535423550
oct260076733071
967012537738
1023638816313
11a03054a632
1246b8712675
1322c9528898
14120369ad97
15935448ac8
hex580fbb639

23638816313 has 64 divisors (see below), whose sum is σ = 29971968000. Its totient is φ = 18188561664.

The previous prime is 23638816303. The next prime is 23638816321. The reversal of 23638816313 is 31361883632.

It is not a de Polignac number, because 23638816313 - 24 = 23638816297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23638816303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62371358 + ... + 62371736.

It is an arithmetic number, because the mean of its divisors is an integer number (468312000).

Almost surely, 223638816313 is an apocalyptic number.

It is an amenable number.

23638816313 is a deficient number, since it is larger than the sum of its proper divisors (6333151687).

23638816313 is a wasteful number, since it uses less digits than its factorization.

23638816313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its digits is 373248, while the sum is 44.

The spelling of 23638816313 in words is "twenty-three billion, six hundred thirty-eight million, eight hundred sixteen thousand, three hundred thirteen".

Divisors: 1 7 19 29 103 133 157 203 379 551 721 1099 1957 2653 2983 2987 3857 4553 7201 10991 13699 16171 20881 20909 31871 39037 50407 56753 59503 76937 86507 113197 208829 273259 307249 397271 416521 468959 605549 741703 1130557 1132073 1461803 1725587 2150743 3282713 5191921 6128809 7913899 7924511 8910221 12079109 21509387 32786153 42901663 62371547 116447371 150565709 177735461 229503071 815131597 1244148227 3376973759 23638816313