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23794913536 = 283123112
BaseRepresentation
bin10110001010010010…
…011001000100000000
32021102022022211221221
4112022102121010000
5342212444213121
614533051324424
71501442266522
oct261222310400
967368284857
1023794913536
11a1006767a9
124740a50714
132322980ac4
14121a2d1a12
15943eceb41
hex58a499100

23794913536 has 81 divisors (see below), whose sum is σ = 49236775959. Its totient is φ = 11476646400.

The previous prime is 23794913501. The next prime is 23794913543. The reversal of 23794913536 is 63531949732.

It is a happy number.

The square root of 23794913536 is 154256.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76510821 + ... + 76511131.

Almost surely, 223794913536 is an apocalyptic number.

23794913536 is the 154256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23794913536

23794913536 is an abundant number, since it is smaller than the sum of its proper divisors (25441862423).

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

23794913536 is an frugal number, since it uses more digits than its factorization.

23794913536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 344 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 52.

The spelling of 23794913536 in words is "twenty-three billion, seven hundred ninety-four million, nine hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 311 496 622 961 992 1244 1922 1984 2488 3844 3968 4976 7688 7936 9641 9952 15376 19282 19904 30752 38564 39808 61504 77128 79616 96721 123008 154256 193442 246016 298871 308512 386884 597742 617024 773768 1195484 1234048 1547536 2390968 2468096 2998351 3095072 4781936 5996702 6190144 9563872 11993404 12380288 19127744 23986808 24760576 38255488 47973616 76510976 92948881 95947232 185897762 191894464 371795524 383788928 743591048 767577856 1487182096 2974364192 5948728384 11897456768 23794913536