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13405066326 = 23659155833
BaseRepresentation
bin11000111110000000…
…10001010001010110
31021121012222221000000
430133000101101112
5204423144110301
610054101032130
7653122120011
oct143700212126
937535887000
1013405066326
1157598a0813
1227213b5646
131358298312
1491248c378
15536cb6786
hex31f011456

13405066326 has 56 divisors (see below), whose sum is σ = 30658781160. Its totient is φ = 4392592416.

The previous prime is 13405066313. The next prime is 13405066327. The reversal of 13405066326 is 62366050431.

13405066326 is a `hidden beast` number, since 13 + 4 + 0 + 5 + 0 + 6 + 632 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405066327) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8106 + ... + 163938.

It is an arithmetic number, because the mean of its divisors is an integer number (547478235).

Almost surely, 213405066326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13405066326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329390580).

13405066326 is an abundant number, since it is smaller than the sum of its proper divisors (17253714834).

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

13405066326 is an equidigital number, since it uses as much as digits as its factorization.

13405066326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155912 (or 155897 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13405066326 in words is "thirteen billion, four hundred five million, sixty-six thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 486 531 729 1062 1458 1593 3186 4779 9558 14337 28674 43011 86022 155833 311666 467499 934998 1402497 2804994 4207491 8414982 9194147 12622473 18388294 25244946 27582441 37867419 55164882 75734838 82747323 113602257 165494646 227204514 248241969 496483938 744725907 1489451814 2234177721 4468355442 6702533163 13405066326