Search a number
-
+
23013637218 = 2351113331141
BaseRepresentation
bin10101011011101110…
…000011110001100010
32012101212012220100000
4111123232003301202
5334112442342333
614323342040430
71443204455145
oct253356036142
965355186300
1023013637218
11983a6642a0
124563279116
132229b55420
14118463c05c
158ea605713
hex55bb83c62

23013637218 has 96 divisors (see below), whose sum is σ = 60749986752. Its totient is φ = 6437361600.

The previous prime is 23013637211. The next prime is 23013637219. The reversal of 23013637218 is 81273631032.

23013637218 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 3 + 637 + 2 + 18 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23013637211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96073 + ... + 235068.

It is an arithmetic number, because the mean of its divisors is an integer number (632812362).

Almost surely, 223013637218 is an apocalyptic number.

23013637218 is an abundant number, since it is smaller than the sum of its proper divisors (37736349534).

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

23013637218 is a wasteful number, since it uses less digits than its factorization.

23013637218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331182 (or 331170 counting only the distinct ones).

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

The spelling of 23013637218 in words is "twenty-three billion, thirteen million, six hundred thirty-seven thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 486 594 702 858 891 1053 1287 1782 2106 2574 2673 3159 3861 5346 6318 7722 11583 23166 34749 69498 331141 662282 993423 1986846 2980269 3642551 4304833 5960538 7285102 8609666 8940807 10927653 12914499 17881614 21855306 25828998 26822421 32782959 38743497 47353163 53644842 65565918 77486994 80467263 94706326 98348877 116230491 142059489 160934526 196697754 232460982 284118978 295046631 348691473 426178467 590093262 697382946 852356934 885139893 1046074419 1278535401 1770279786 2092148838 2557070802 3835606203 7671212406 11506818609 23013637218