10033427889 has 27 divisors (see below), whose sum is σ = 14652906177. Its totient is φ = 6615830016.

The previous prime is 10033427881. The next prime is 10033427981. The reversal of 10033427889 is 98872433001.

The square root of 10033427889 is 100167.

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

10033427889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 433347489 + 9600080400 = 20817^2 + 97980^2 .

It is not a de Polignac number, because 10033427889 - 2³ = 10033427881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10033427881) 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 26 ways as a sum of consecutive naturals, for example, 51986577 + ... + 51986769.

Almost surely, 2^10033427889 is an apocalyptic number.

10033427889 is the 100167-th square number.

10033427889 is the 50084-th centered octagonal number.

It is an amenable number.

10033427889 is a deficient number, since it is larger than the sum of its proper divisors (4619478288).

10033427889 is an frugal number, since it uses more digits than its factorization.

10033427889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10033427889 in words is "ten billion, thirty-three million, four hundred twenty-seven thousand, eight hundred eighty-nine".