Search a number
-
+
23939517587128 = 231113471632731517
BaseRepresentation
bin1010111000101110110100…
…11100010001111010111000
310010202121002010211021210021
411130113122130101322320
511114211113000242003
6122525355040100224
75020400364012553
oct534273234217270
9103677063737707
1023939517587128
11769a768637720
122827780004674
131048643717290
145ca970a0d69a
152b7ac609b2bd
hex15c5da711eb8

23939517587128 has 128 divisors (see below), whose sum is σ = 54186324433920. Its totient is φ = 9770523471360.

The previous prime is 23939517587039. The next prime is 23939517587143. The reversal of 23939517587128 is 82178571593932.

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, 7398426 + ... + 10129942.

It is an arithmetic number, because the mean of its divisors is an integer number (423330659640).

Almost surely, 223939517587128 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 23939517587128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27093162216960).

23939517587128 is an abundant number, since it is smaller than the sum of its proper divisors (30246806846792).

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

23939517587128 is a wasteful number, since it uses less digits than its factorization.

23939517587128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731757 (or 2731753 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 70.

The spelling of 23939517587128 in words is "twenty-three trillion, nine hundred thirty-nine billion, five hundred seventeen million, five hundred eighty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 47 52 88 94 104 143 163 188 286 326 376 517 572 611 652 1034 1144 1222 1304 1793 2068 2119 2444 3586 4136 4238 4888 6721 7172 7661 8476 13442 14344 15322 16952 23309 26884 30644 46618 53768 61288 84271 93236 99593 168542 186472 199186 337084 398372 674168 796744 1095523 2191046 2731517 4382092 5463034 8764184 10926068 21852136 30046687 35509721 60093374 71019442 120186748 128381299 142038884 240373496 256762598 284077768 390606931 445237271 513525196 781213862 890474542 1027050392 1412194289 1562427724 1668956887 1780949084 2824388578 3124855448 3337913774 3561898168 4897609981 5648777156 5788084523 6675827548 9795219962 11297554312 11576169046 13351655096 18358525757 19590439924 20926151737 23152338092 36717051514 39180879848 41852303474 46304676184 63668929753 73434103028 83704606948 127337859506 146868206056 167409213896 230187669107 254675719012 272039972581 460375338214 509351438024 544079945162 920750676428 1088159890324 1841501352856 2176319780648 2992439698391 5984879396782 11969758793564 23939517587128