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23013454872 = 23331476110789
BaseRepresentation
bin10101011011101101…
…010111010000011000
32012101211212122012110
4111123231113100120
5334112421023442
614323334112320
71443203065422
oct253355272030
965354778173
1023013454872
11983a54a2a1
1245631ab6a0
132229ac0425
1411845d1812
158ea5bb69c
hex55bb57418

23013454872 has 128 divisors (see below), whose sum is σ = 61653196800. Its totient is φ = 7145971200.

The previous prime is 23013454831. The next prime is 23013454901. The reversal of 23013454872 is 27845431032.

It is a self number, because there is not a number n which added to its sum of digits gives 23013454872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127654 + ... + 2138442.

It is an arithmetic number, because the mean of its divisors is an integer number (481665600).

Almost surely, 223013454872 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 23013454872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30826598400).

23013454872 is an abundant number, since it is smaller than the sum of its proper divisors (38639741928).

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

23013454872 is a wasteful number, since it uses less digits than its factorization.

23013454872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10937 (or 10933 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 23013454872 in words is "twenty-three billion, thirteen million, four hundred fifty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 47 61 62 93 94 122 124 141 183 186 188 244 248 282 366 372 376 488 564 732 744 1128 1457 1464 1891 2867 2914 3782 4371 5673 5734 5828 7564 8601 8742 10789 11346 11468 11656 15128 17202 17484 21578 22692 22936 32367 34404 34968 43156 45384 64734 68808 86312 88877 129468 177754 258936 266631 334459 355508 507083 533262 658129 668918 711016 1003377 1014166 1066524 1316258 1337836 1521249 1974387 2006754 2028332 2133048 2632516 2675672 3042498 3948774 4013508 4056664 5265032 6084996 7897548 8027016 12169992 15719573 15795096 20401999 30932063 31439146 40803998 47158719 61205997 61864126 62878292 81607996 92796189 94317438 122411994 123728252 125756584 163215992 185592378 188634876 244823988 247456504 371184756 377269752 489647976 742369512 958893953 1917787906 2876681859 3835575812 5753363718 7671151624 11506727436 23013454872