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12426628409 = 131772953917
BaseRepresentation
bin10111001001010111…
…10100110100111001
31012002000220010111122
423210223310310321
5200422204102114
65413025435025
7616641412226
oct134453646471
935060803448
1012426628409
1152a7564938
1224a979ba75
13123066a580
1485c55494d
154cae43e8e
hex2e4af4d39

12426628409 has 8 divisors (see below), whose sum is σ = 13383525960. Its totient is φ = 11469874176.

The previous prime is 12426628399. The next prime is 12426628421. The reversal of 12426628409 is 90482662421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16000000 + 12410628409 = 4000^2 + 111403^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12426628409 - 224 = 12409851193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12426628409.

It is not an unprimeable number, because it can be changed into a prime (12426678409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203519 + ... + 257435.

It is an arithmetic number, because the mean of its divisors is an integer number (1672940745).

Almost surely, 212426628409 is an apocalyptic number.

It is an amenable number.

12426628409 is a deficient number, since it is larger than the sum of its proper divisors (956897551).

12426628409 is a wasteful number, since it uses less digits than its factorization.

12426628409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71659.

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 12426628409 in words is "twelve billion, four hundred twenty-six million, six hundred twenty-eight thousand, four hundred nine".

Divisors: 1 13 17729 53917 230477 700921 955894493 12426628409