10153726164 has 30 divisors (see below), whose sum is σ = 26543846714. Its totient is φ = 3384575280.

The previous prime is 10153726157. The next prime is 10153726183. The reversal of 10153726164 is 46162735101.

10153726164 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 37 + 2 + 616 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10048458564 + 105267600 = 100242^2 + 10260^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15669007 + ... + 15669654.

Almost surely, 2^10153726164 is an apocalyptic number.

It is an amenable number.

10153726164 is an abundant number, since it is smaller than the sum of its proper divisors (16390120550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10153726164 is a wasteful number, since it uses less digits than its factorization.

10153726164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31338677 (or 31338666 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10153726164 in words is "ten billion, one hundred fifty-three million, seven hundred twenty-six thousand, one hundred sixty-four".