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12811552845 = 357133193779
BaseRepresentation
bin10111110111010000…
…01100100001001101
31020001212012022120020
423323220030201031
5202214224142340
65515140012353
7632324255010
oct137350144115
936055168506
1012811552845
115484873303
1225966910b9
131292331000
14897713377
154eeb2a9d0
hex2fba0c84d

12811552845 has 256 divisors, whose sum is σ = 27783168000. Its totient is φ = 4920155136.

The previous prime is 12811552829. The next prime is 12811552849. The reversal of 12811552845 is 54825511821.

It is a happy number.

12811552845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12811552845 - 24 = 12811552829 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12811552797 and 12811552806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12811552849) 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 255 ways as a sum of consecutive naturals, for example, 162171516 + ... + 162171594.

It is an arithmetic number, because the mean of its divisors is an integer number (108528000).

Almost surely, 212811552845 is an apocalyptic number.

12811552845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12811552845 is an abundant number, since it is smaller than the sum of its proper divisors (14971615155).

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

12811552845 is a wasteful number, since it uses less digits than its factorization.

12811552845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its digits is 128000, while the sum is 42.

The spelling of 12811552845 in words is "twelve billion, eight hundred eleven million, five hundred fifty-two thousand, eight hundred forty-five".