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23406833860432 = 24117913124153323
BaseRepresentation
bin1010101001001110101000…
…00001000111111101010000
310001212200010111102020020121
411110213110001013331100
511031444143432013212
6121440541231120024
74634042110026241
oct524472401077520
9101780114366217
1023406833860432
117504867554650
122760499373014
13100a3411c7a69
145acc7ab86cc8
152a8ceae20d07
hex1549d4047f50

23406833860432 has 160 divisors (see below), whose sum is σ = 50692644034560. Its totient is φ = 10381153536000.

The previous prime is 23406833860379. The next prime is 23406833860451.

23406833860432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23406833860432.

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, 438936523 + ... + 438989845.

It is an arithmetic number, because the mean of its divisors is an integer number (316829025216).

Almost surely, 223406833860432 is an apocalyptic number.

23406833860432 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 23406833860432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25346322017280).

23406833860432 is an abundant number, since it is smaller than the sum of its proper divisors (27285810174128).

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

23406833860432 is a wasteful number, since it uses less digits than its factorization.

23406833860432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53793 (or 53787 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 52.

The spelling of 23406833860432 in words is "twenty-three trillion, four hundred six billion, eight hundred thirty-three million, eight hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 79 88 131 158 176 241 262 316 482 524 632 869 964 1048 1264 1441 1738 1928 2096 2651 2882 3476 3856 5302 5764 6952 10349 10604 11528 13904 19039 20698 21208 23056 31571 38078 41396 42416 53323 63142 76156 82792 106646 113839 126284 152312 165584 209429 213292 227678 252568 304624 347281 418858 426584 455356 505136 586553 694562 837716 853168 910712 1173106 1389124 1675432 1821424 2346212 2494109 2778248 3350864 4212517 4692424 4988218 5556496 6985313 8425034 9384848 9976436 12850843 13970626 16850068 19952872 25701686 27435199 27941252 33700136 39905744 46337687 51403372 54870398 55882504 67400272 76838443 92675374 102806744 109740796 111765008 141359273 153676886 185350748 205613488 219481592 282718546 307353772 370701496 438963184 551839727 565437092 614707544 741402992 1015216597 1103679454 1130874184 1229415088 1683460433 2030433194 2207358908 2261748368 3366920866 4060866388 4414717816 6070236997 6733841732 8121732776 8829435632 11167382567 12140473994 13467683464 16243465552 18518064763 22334765134 24280947988 26935366928 37036129526 44669530268 48561895976 74072259052 89339060536 97123791952 132993374207 148144518104 178678121072 265986748414 296289036208 531973496828 1063946993656 1462927116277 2127893987312 2925854232554 5851708465108 11703416930216 23406833860432