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12342395250 = 235531721937
BaseRepresentation
bin10110111111010101…
…00000000101110010
31011212011101122100000
423133222200011302
5200234123122000
65400420210430
7614566425423
oct133752400562
934764348300
1012342395250
115263a62259
122485539a16
131219087473
148512a964a
154c3856000
hex2dfaa0172

12342395250 has 576 divisors, whose sum is σ = 39746528640. Its totient is φ = 2855347200.

The previous prime is 12342395243. The next prime is 12342395293. The reversal of 12342395250 is 5259324321.

12342395250 is a `hidden beast` number, since 12 + 3 + 4 + 2 + 395 + 250 = 666.

12342395250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 333578232 + ... + 333578268.

It is an arithmetic number, because the mean of its divisors is an integer number (69004390).

Almost surely, 212342395250 is an apocalyptic number.

12342395250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12342395250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19873264320).

12342395250 is an abundant number, since it is smaller than the sum of its proper divisors (27404133390).

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

12342395250 is a wasteful number, since it uses less digits than its factorization.

12342395250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 12342395250 in words is "twelve billion, three hundred forty-two million, three hundred ninety-five thousand, two hundred fifty".