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23828094927 = 32713416111633
BaseRepresentation
bin10110001100010000…
…111101111111001111
32021111121202122021100
4112030100331333033
5342244443014202
614540234434143
71502324315340
oct261420757717
967447678240
1023828094927
11a11837a43a
12474bb92953
1323297cab70
14122088c0c7
15946d8641c
hex58c43dfcf

23828094927 has 96 divisors (see below), whose sum is σ = 44109426816. Its totient is φ = 12060057600.

The previous prime is 23828094889. The next prime is 23828094943. The reversal of 23828094927 is 72949082832.

It is a happy number.

It is not a de Polignac number, because 23828094927 - 210 = 23828093903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23828094127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2042503 + ... + 2054135.

It is an arithmetic number, because the mean of its divisors is an integer number (459473196).

Almost surely, 223828094927 is an apocalyptic number.

23828094927 is a deficient number, since it is larger than the sum of its proper divisors (20281331889).

23828094927 is a wasteful number, since it uses less digits than its factorization.

23828094927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11761 (or 11758 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 23828094927 in words is "twenty-three billion, eight hundred twenty-eight million, ninety-four thousand, nine hundred twenty-seven".

Divisors: 1 3 7 9 13 21 39 41 61 63 91 117 123 183 273 287 369 427 533 549 793 819 861 1281 1599 2379 2501 2583 3731 3843 4797 5551 7137 7503 11193 11633 16653 17507 22509 32513 33579 34899 49959 52521 81431 97539 104697 151229 157563 227591 244293 292617 453687 476953 682773 709613 732879 1058603 1361061 1430859 2048319 2128839 3175809 3338671 4292577 4967291 6200389 6386517 9224969 9527427 10016013 14901873 18601167 27674907 29094133 30048039 43402723 44705619 55803501 64574783 83024721 87282399 130208169 193724349 203658931 261847197 378223729 390624507 581173047 610976793 1134671187 1832930379 2647566103 3404013561 7942698309 23828094927