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12384662863104 = 28347219641519
BaseRepresentation
bin1011010000111000011101…
…1011100011110100000000
31121211221222110010012020000
42310032013123203310000
53110402242143104404
642201234030120000
72415522330262500
oct264160733436400
947757873105200
1012384662863104
113a45340356254
121480292650000
136bab3a6b079c
1430b5c6c7ba00
1516724810c339
hexb43876e3d00

12384662863104 has 540 divisors, whose sum is σ = 45219038356800. Its totient is φ = 3352234346496.

The previous prime is 12384662863061. The next prime is 12384662863117. The reversal of 12384662863104 is 40136826648321.

12384662863104 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 4 + 6 + 628 + 6 + 3 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18984457 + ... + 19625975.

It is an arithmetic number, because the mean of its divisors is an integer number (83738959920).

Almost surely, 212384662863104 is an apocalyptic number.

12384662863104 is a gapful number since it is divisible by the number (14) 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 12384662863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22609519178400).

12384662863104 is an abundant number, since it is smaller than the sum of its proper divisors (32834375493696).

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

12384662863104 is an equidigital number, since it uses as much as digits as its factorization.

12384662863104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641580 (or 641550 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 12384662863104 in words is "twelve trillion, three hundred eighty-four billion, six hundred sixty-two million, eight hundred sixty-three thousand, one hundred four".