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12309553152 = 21334131427
BaseRepresentation
bin10110111011011010…
…01110000000000000
31011202212121002110000
423131231032000000
5200202221200102
65353244240000
7614020322031
oct133555160000
934685532400
1012309553152
115247470526
122476540000
131212328980
1484ab9aa88
154c0a1a01c
hex2ddb4e000

12309553152 has 280 divisors, whose sum is σ = 39631001256. Its totient is φ = 3784900608.

The previous prime is 12309553141. The next prime is 12309553169. The reversal of 12309553152 is 25135590321.

12309553152 is a `hidden beast` number, since 1 + 2 + 30 + 95 + 531 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8625463 + ... + 8626889.

Almost surely, 212309553152 is an apocalyptic number.

12309553152 is a gapful number since it is divisible by the number (12) 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 12309553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815500628).

12309553152 is an abundant number, since it is smaller than the sum of its proper divisors (27321448104).

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

12309553152 is an equidigital number, since it uses as much as digits as its factorization.

12309553152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 12309553152 in words is "twelve billion, three hundred nine million, five hundred fifty-three thousand, one hundred fifty-two".