9931009536 has 480 divisors, whose sum is σ = 34809334560. Its totient is φ = 2821754880.

The previous prime is 9931009489. The next prime is 9931009537. The reversal of 9931009536 is 6359001399.

9931009536 is a `hidden beast` number, since 9 + 9 + 3 + 100 + 9 + 536 = 666.

9931009536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9931009491 and 9931009500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9931009537) 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 47 ways as a sum of consecutive naturals, for example, 54867366 + ... + 54867546.

It is an arithmetic number, because the mean of its divisors is an integer number (72519447).

Almost surely, 2^9931009536 is an apocalyptic number.

9931009536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9931009536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404667280).

9931009536 is an abundant number, since it is smaller than the sum of its proper divisors (24878325024).

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

9931009536 is an frugal number, since it uses more digits than its factorization.

9931009536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 9931009536 is about 99654.4506582621. The cubic root of 9931009536 is about 2149.4687373861.

The spelling of 9931009536 in words is "nine billion, nine hundred thirty-one million, nine thousand, five hundred thirty-six".