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12326839760928 = 25371122931168631
BaseRepresentation
bin1011001101100001000011…
…1001111011100000100000
31121122102201122202020220010
42303120100321323200200
53103430331434322203
642114512204244520
72411404403104620
oct263302071734040
947572648666803
1012326839760928
113a22868759800
121471035840740
136b5553c56824
1430889d570880
151659b1a61303
hexb3610e7b820

12326839760928 has 576 divisors, whose sum is σ = 43406362460160. Its totient is φ = 2991631104000.

The previous prime is 12326839760861. The next prime is 12326839760951. The reversal of 12326839760928 is 82906793862321.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73015173 + ... + 73183803.

It is an arithmetic number, because the mean of its divisors is an integer number (75358268160).

Almost surely, 212326839760928 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 12326839760928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703181230080).

12326839760928 is an abundant number, since it is smaller than the sum of its proper divisors (31079522699232).

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

12326839760928 is a wasteful number, since it uses less digits than its factorization.

12326839760928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168733 (or 168714 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 12326839760928 in words is "twelve trillion, three hundred twenty-six billion, eight hundred thirty-nine million, seven hundred sixty thousand, nine hundred twenty-eight".