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12381801696 = 25331110112899
BaseRepresentation
bin10111000100000001…
…10100110011100000
31011221220112200211000
423202000310303200
5200324220123241
65404344552000
7615555402135
oct134200646340
934856480730
1012381801696
115284227970
122496782600
1312242a3aa4
1485660658c
154c703beb6
hex2e2034ce0

12381801696 has 192 divisors, whose sum is σ = 39789792000. Its totient is φ = 3714624000.

The previous prime is 12381801673. The next prime is 12381801697. The reversal of 12381801696 is 69610818321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12381801697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953455 + ... + 966353.

It is an arithmetic number, because the mean of its divisors is an integer number (207238500).

Almost surely, 212381801696 is an apocalyptic number.

12381801696 is a gapful number since it is divisible by the number (16) 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 12381801696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19894896000).

12381801696 is an abundant number, since it is smaller than the sum of its proper divisors (27407990304).

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

12381801696 is a wasteful number, since it uses less digits than its factorization.

12381801696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13030 (or 13016 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12381801696 in words is "twelve billion, three hundred eighty-one million, eight hundred one thousand, six hundred ninety-six".