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12892012849 = 17266792
BaseRepresentation
bin11000000000110110…
…01000000100110001
31020021110121002221101
430000123020010301
5202400323402344
65531132324401
7634322205202
oct140033100461
936243532841
1012892012849
115516229081
1225b9613701
1312a5bc2891
148a42995a9
15506c209d4
hex3006c8131

12892012849 has 9 divisors (see below), whose sum is σ = 13697026347. Its totient is φ = 12131842464.

The previous prime is 12892012799. The next prime is 12892012921. The reversal of 12892012849 is 94821029821.

It is a happy number.

The square root of 12892012849 is 113543.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10037034225 + 2854978624 = 100185^2 + 53432^2 .

It is not a de Polignac number, because 12892012849 - 215 = 12891980081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12892012799 and 12892012808.

It is not an unprimeable number, because it can be changed into a prime (12892012249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1926892 + ... + 1933570.

Almost surely, 212892012849 is an apocalyptic number.

12892012849 is the 113543-rd square number.

12892012849 is the 56772-nd centered octagonal number.

It is an amenable number.

12892012849 is a deficient number, since it is larger than the sum of its proper divisors (805013498).

12892012849 is an frugal number, since it uses more digits than its factorization.

12892012849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13392 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 12892012849 in words is "twelve billion, eight hundred ninety-two million, twelve thousand, eight hundred forty-nine".

Divisors: 1 17 289 6679 113543 1930231 44609041 758353697 12892012849