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23104722096 = 2433316128283
BaseRepresentation
bin10101100001001001…
…100001010010110000
32012122012121111022000
4111201021201102300
5334304302101341
614340354214000
71445361616551
oct254111412260
965565544260
1023104722096
119887016755
124589884300
1322429970c1
14119278c328
159035e88b6
hex5612614b0

23104722096 has 160 divisors (see below), whose sum is σ = 69583165440. Its totient is φ = 7330694400.

The previous prime is 23104722089. The next prime is 23104722119. The reversal of 23104722096 is 69022740132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23104722096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802771 + ... + 831053.

It is an arithmetic number, because the mean of its divisors is an integer number (434894784).

Almost surely, 223104722096 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 23104722096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34791582720).

23104722096 is an abundant number, since it is smaller than the sum of its proper divisors (46478443344).

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

23104722096 is a wasteful number, since it uses less digits than its factorization.

23104722096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28392 (or 28380 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 23104722096 in words is "twenty-three billion, one hundred four million, seven hundred twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 61 62 72 93 108 122 124 144 183 186 216 244 248 279 366 372 432 488 496 549 558 732 744 837 976 1098 1116 1464 1488 1647 1674 1891 2196 2232 2928 3294 3348 3782 4392 4464 5673 6588 6696 7564 8784 11346 13176 13392 15128 17019 22692 26352 28283 30256 34038 45384 51057 56566 68076 84849 90768 102114 113132 136152 169698 204228 226264 254547 272304 339396 408456 452528 509094 678792 763641 816912 876773 1018188 1357584 1527282 1725263 1753546 2036376 2630319 3054564 3450526 3507092 4072752 5175789 5260638 6109128 6901052 7014184 7890957 10351578 10521276 12218256 13802104 14028368 15527367 15781914 20703156 21042552 23672871 27604208 31054734 31563828 41406312 42085104 46582101 47345742 53483153 62109468 63127656 82812624 93164202 94691484 106966306 124218936 126255312 160449459 186328404 189382968 213932612 248437872 320898918 372656808 378765936 427865224 481348377 641797836 745313616 855730448 962696754 1283595672 1444045131 1925393508 2567191344 2888090262 3850787016 5776180524 7701574032 11552361048 23104722096