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12309526080 = 2632526915889
BaseRepresentation
bin10110111011011010…
…00111011001000000
31011202212112201022100
423131231013121000
5200202214313310
65353243510400
7614020150065
oct133555073100
934685481270
1012309526080
115247452155
122476528400
131212319557
1484ab90c6c
154c0a11ec0
hex2ddb47640

12309526080 has 168 divisors, whose sum is σ = 42499711800. Its totient is φ = 3270131712.

The previous prime is 12309526051. The next prime is 12309526087. The reversal of 12309526080 is 8062590321.

12309526080 is a `hidden beast` number, since 1 + 230 + 95 + 260 + 80 = 666.

12309526080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 100160064 + 12209366016 = 10008^2 + 110496^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12309526087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 766776 + ... + 782664.

It is an arithmetic number, because the mean of its divisors is an integer number (252974475).

Almost surely, 212309526080 is an apocalyptic number.

12309526080 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 12309526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21249855900).

12309526080 is an abundant number, since it is smaller than the sum of its proper divisors (30190185720).

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

12309526080 is a wasteful number, since it uses less digits than its factorization.

12309526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16181 (or 16168 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12309526080 in words is "twelve billion, three hundred nine million, five hundred twenty-six thousand, eighty".