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12309899669760 = 2835731117234153
BaseRepresentation
bin1011001100100001111100…
…1100100111000100000000
31121120211000001222110110010
42303020133030213010000
53103141133303413020
642103031223304520
72410234534521000
oct263103714470400
947524001873403
1012309899669760
113a16665499560
1214698a85ab140
136b3a844aaa44
14307b33808000
1516531e76ede0
hexb321f327100

12309899669760 has 4608 divisors, whose sum is σ = 57676669747200. Its totient is φ = 2204211609600.

The previous prime is 12309899669731. The next prime is 12309899669761. The reversal of 12309899669760 is 6796699890321.

It is not an unprimeable number, because it can be changed into a prime (12309899669761) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 232262257894 + ... + 232262257946.

It is an arithmetic number, because the mean of its divisors is an integer number (12516638400).

Almost surely, 212309899669760 is an apocalyptic number.

12309899669760 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 12309899669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28838334873600).

12309899669760 is an abundant number, since it is smaller than the sum of its proper divisors (45366770077440).

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

12309899669760 is a wasteful number, since it uses less digits than its factorization.

12309899669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 476171136, while the sum is 75.

The spelling of 12309899669760 in words is "twelve trillion, three hundred nine billion, eight hundred ninety-nine million, six hundred sixty-nine thousand, seven hundred sixty".