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12326302976832 = 263213172331672027
BaseRepresentation
bin1011001101011111000011…
…1010010000101101000000
31121122101100020200210112200
42303113300322100231000
53103423232030224312
642114343031153200
72411355164365455
oct263276072205500
947571306623480
1012326302976832
113a22612758989
121470b05b15800
136b54999928c0
1430884c16182c
1516597e87e0dc
hexb35f0e90b40

12326302976832 has 1344 divisors, whose sum is σ = 44064180486144. Its totient is φ = 3253342371840.

The previous prime is 12326302976797. The next prime is 12326302976851. The reversal of 12326302976832 is 23867920362321.

It is a happy number.

12326302976832 is a `hidden beast` number, since 1 + 2 + 3 + 263 + 0 + 297 + 68 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6081056203 + ... + 6081058229.

It is an arithmetic number, because the mean of its divisors is an integer number (32785848576).

Almost surely, 212326302976832 is an apocalyptic number.

12326302976832 is a gapful number since it is divisible by the number (12) 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 12326302976832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032090243072).

12326302976832 is an abundant number, since it is smaller than the sum of its proper divisors (31737877509312).

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

12326302976832 is a wasteful number, since it uses less digits than its factorization.

12326302976832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 12326302976832 in words is "twelve trillion, three hundred twenty-six billion, three hundred two million, nine hundred seventy-six thousand, eight hundred thirty-two".