10033287417 has 12 divisors (see below), whose sum is σ = 14493516180. Its totient is φ = 6688401408.

The previous prime is 10033287391. The next prime is 10033287419. The reversal of 10033287417 is 71478233001.

10033287417 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 2 ways, for example, as 2342172816 + 7691114601 = 48396^2 + 87699^2 .

It is not a de Polignac number, because 10033287417 - 2²⁰ = 10032238841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10033287419) 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 11 ways as a sum of consecutive naturals, for example, 149809 + ... + 206177.

It is an arithmetic number, because the mean of its divisors is an integer number (1207793015).

Almost surely, 2^10033287417 is an apocalyptic number.

It is an amenable number.

10033287417 is a deficient number, since it is larger than the sum of its proper divisors (4460228763).

10033287417 is a wasteful number, since it uses less digits than its factorization.

10033287417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76152 (or 76149 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10033287417 in words is "ten billion, thirty-three million, two hundred eighty-seven thousand, four hundred seventeen".