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12281832992 = 251121321372
BaseRepresentation
bin10110111000000110…
…11110011000100000
31011200221102202112102
423130003132120200
5200123122123432
65350414145532
7613232600162
oct133403363040
934627382472
1012281832992
115232857a00
1224691b22a8
131209671600
14847222932
154bd391962
hex2dc0de620

12281832992 has 162 divisors, whose sum is σ = 28991180799. Its totient is φ = 5115601920.

The previous prime is 12281832977. The next prime is 12281833033. The reversal of 12281832992 is 29923818221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2645662096 + 9636170896 = 51436^2 + 98164^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78364.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89648348 + ... + 89648484.

Almost surely, 212281832992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12281832992

12281832992 is an abundant number, since it is smaller than the sum of its proper divisors (16709347807).

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

12281832992 is a wasteful number, since it uses less digits than its factorization.

12281832992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 163 counting only the distinct ones).

The product of its digits is 248832, while the sum is 47.

The spelling of 12281832992 in words is "twelve billion, two hundred eighty-one million, eight hundred thirty-two thousand, nine hundred ninety-two".