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23412536334 = 232118910312899
BaseRepresentation
bin10101110011011111…
…101111010000001110
32020102122211002001100
4111303133233100032
5340422102130314
614431111523530
71456120163265
oct256337572016
966378732040
1023412536334
119a24848090
1246549895a6
13229169c8c5
1411c15d75dc
1592064cc09
hex5737ef40e

23412536334 has 96 divisors (see below), whose sum is σ = 56508192000. Its totient is φ = 6946346880.

The previous prime is 23412536321. The next prime is 23412536339. The reversal of 23412536334 is 43363521432.

23412536334 is a `hidden beast` number, since 2 + 3 + 4 + 12 + 5 + 3 + 633 + 4 = 666.

23412536334 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23412536339) 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, 1808617 + ... + 1821515.

It is an arithmetic number, because the mean of its divisors is an integer number (588627000).

Almost surely, 223412536334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23412536334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28254096000).

23412536334 is an abundant number, since it is smaller than the sum of its proper divisors (33095655666).

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

23412536334 is a wasteful number, since it uses less digits than its factorization.

23412536334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13110 (or 13107 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The spelling of 23412536334 in words is "twenty-three billion, four hundred twelve million, five hundred thirty-six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 103 178 198 206 267 309 534 618 801 927 979 1133 1602 1854 1958 2266 2937 3399 5874 6798 8811 9167 10197 12899 17622 18334 20394 25798 27501 38697 55002 77394 82503 100837 116091 141889 165006 201674 232182 283778 302511 425667 605022 851334 907533 1148011 1277001 1328597 1815066 2296022 2554002 2657194 3444033 3985791 6888066 7971582 10332099 11957373 12628121 14614567 20664198 23914746 25256242 29229134 37884363 43843701 75768726 87687402 113653089 118245133 131531103 227306178 236490266 263062206 354735399 709470798 1064206197 1300696463 2128412394 2601392926 3902089389 7804178778 11706268167 23412536334