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12033431809 = 72156712
BaseRepresentation
bin10110011010011111…
…11001100100000001
31011001122000200011121
423031033321210001
5144121024304214
65310022112241
7604125324400
oct131517714401
934048020147
1012033431809
115115616473
1223b9b7b681
13119a06b869
14822241637
154a6676424
hex2cd3f9901

12033431809 has 9 divisors (see below), whose sum is σ = 13998967041. Its totient is φ = 10313711940.

The previous prime is 12033431777. The next prime is 12033431831. The reversal of 12033431809 is 90813433021.

The square root of 12033431809 is 109697.

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

12033431809 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 12033431809 - 25 = 12033431777 is a prime.

It is a super-2 number, since 2×120334318092 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12033431309) 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 8 ways as a sum of consecutive naturals, for example, 760044 + ... + 775714.

Almost surely, 212033431809 is an apocalyptic number.

12033431809 is the 109697-th square number.

12033431809 is the 54849-th centered octagonal number.

It is an amenable number.

12033431809 is a deficient number, since it is larger than the sum of its proper divisors (1965535232).

12033431809 is an frugal number, since it uses more digits than its factorization.

12033431809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31356 (or 15678 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 12033431809 in words is "twelve billion, thirty-three million, four hundred thirty-one thousand, eight hundred nine".

Divisors: 1 7 49 15671 109697 767879 245580241 1719061687 12033431809