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12343201920 = 2732572101433
BaseRepresentation
bin10110111111011011…
…00101000010000000
31011212012220121212200
423133231211002000
5200234324430140
65400445353200
7614606325300
oct133755450200
934765817780
1012343201920
115264463325
122485868800
1312192aa69a
14851439600
154c3965030
hex2dfb65080

12343201920 has 576 divisors, whose sum is σ = 50187959640. Its totient is φ = 2786918400.

The previous prime is 12343201847. The next prime is 12343201931. The reversal of 12343201920 is 2910234321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10536611904 + 1806590016 = 102648^2 + 42504^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28506024 + ... + 28506456.

Almost surely, 212343201920 is an apocalyptic number.

12343201920 is a gapful number since it is divisible by the number (10) 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 12343201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25093979820).

12343201920 is an abundant number, since it is smaller than the sum of its proper divisors (37844757720).

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

12343201920 is a wasteful number, since it uses less digits than its factorization.

12343201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12343201920 in words is "twelve billion, three hundred forty-three million, two hundred one thousand, nine hundred twenty".