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12329245920 = 25351719281283
BaseRepresentation
bin10110111101110000…
…10101110011100000
31011211020122120211210
423132320111303200
5200222241332140
65355230310120
7614346601245
oct133670256340
934736576753
1012329245920
1152575a0a42
122481058340
1312164322b4
1484d6455cc
154c2609d80
hex2dee15ce0

12329245920 has 384 divisors, whose sum is σ = 43593500160. Its totient is φ = 2910781440.

The previous prime is 12329245891. The next prime is 12329245949. The reversal of 12329245920 is 2954292321.

It is an interprime number because it is at equal distance from previous prime (12329245891) and next prime (12329245949).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43566099 + ... + 43566381.

It is an arithmetic number, because the mean of its divisors is an integer number (113524740).

Almost surely, 212329245920 is an apocalyptic number.

12329245920 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 12329245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21796750080).

12329245920 is an abundant number, since it is smaller than the sum of its proper divisors (31264254240).

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

12329245920 is a wasteful number, since it uses less digits than its factorization.

12329245920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 12329245920 in words is "twelve billion, three hundred twenty-nine million, two hundred forty-five thousand, nine hundred twenty".