Search a number
-
+
23610468112 = 247311421929
BaseRepresentation
bin10101111111010010…
…110010011100010000
32020221110021001101221
4111333102302130100
5341323234434422
614502502134424
71464042445000
oct257722623420
966843231357
1023610468112
11a016548170
1246ab121414
1322c36b16ba
1411dd9dc000
15932be93c7
hex57f4b2710

23610468112 has 160 divisors (see below), whose sum is σ = 58398048000. Its totient is φ = 9167155200.

The previous prime is 23610468097. The next prime is 23610468113. The reversal of 23610468112 is 21186401632.

It is not an unprimeable number, because it can be changed into a prime (23610468113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25414464 + ... + 25415392.

It is an arithmetic number, because the mean of its divisors is an integer number (364987800).

Almost surely, 223610468112 is an apocalyptic number.

23610468112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23610468112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29199024000).

23610468112 is an abundant number, since it is smaller than the sum of its proper divisors (34787579888).

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

23610468112 is a wasteful number, since it uses less digits than its factorization.

23610468112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 23610468112 its reverse (21186401632), we get a palindrome (44796869744).

The spelling of 23610468112 in words is "twenty-three billion, six hundred ten million, four hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 343 392 421 539 616 686 784 842 929 1078 1232 1372 1684 1858 2156 2744 2947 3368 3716 3773 4312 4631 5488 5894 6503 6736 7432 7546 8624 9262 10219 11788 13006 14864 15092 18524 20438 20629 23576 26012 30184 32417 37048 40876 41258 45521 47152 52024 60368 64834 71533 74096 81752 82516 91042 104048 129668 143066 144403 163504 165032 182084 226919 259336 286132 288806 318647 330064 364168 391109 453838 500731 518672 572264 577612 637294 728336 782218 907676 1001462 1144528 1155224 1274588 1564436 1588433 1815352 2002924 2310448 2549176 2737763 3128872 3176866 3505117 3630704 4005848 4302199 5098352 5475526 6257744 6353732 7010234 8011696 8604398 10951052 12707464 14020468 17208796 19164341 21902104 25414928 28040936 30115393 34417592 38328682 43804208 56081872 60230786 68835184 76657364 120461572 134150387 153314728 210807751 240923144 268300774 306629456 421615502 481846288 536601548 843231004 1073203096 1475654257 1686462008 2146406192 2951308514 3372924016 5902617028 11805234056 23610468112