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12269307680 = 2557232631811
BaseRepresentation
bin10110110110100111…
…01100011100100000
31011200001212102000222
423123103230130200
5200111420321210
65345245502212
7613021252220
oct133323543440
934601772028
1012269307680
115226782503
122464b71968
131206ba7496
148456c2080
154bc21a655
hex2db4ec720

12269307680 has 192 divisors, whose sum is σ = 34718035968. Its totient is φ = 4006210560.

The previous prime is 12269307679. The next prime is 12269307719. The reversal of 12269307680 is 8670396221.

12269307680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 6773975 + ... + 6775785.

It is an arithmetic number, because the mean of its divisors is an integer number (180823104).

Almost surely, 212269307680 is an apocalyptic number.

12269307680 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 12269307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17359017984).

12269307680 is an abundant number, since it is smaller than the sum of its proper divisors (22448728288).

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

12269307680 is a wasteful number, since it uses less digits than its factorization.

12269307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 12269307680 in words is "twelve billion, two hundred sixty-nine million, three hundred seven thousand, six hundred eighty".