10317238272 has 390 divisors, whose sum is σ = 34008982854. Its totient is φ = 3114270720.

The previous prime is 10317238223. The next prime is 10317238313. The reversal of 10317238272 is 27283271301.

10317238272 is a `hidden beast` number, since 103 + 172 + 382 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10277093376 + 40144896 = 101376^2 + 6336^2 .

It is a super-2 number, since 2×10317238272² (a number of 21 digits) contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 40144768 + ... + 40145024.

Almost surely, 2^10317238272 is an apocalyptic number.

10317238272 is a gapful number since it is divisible by the number (12) 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 10317238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004491427).

10317238272 is an abundant number, since it is smaller than the sum of its proper divisors (23691744582).

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

10317238272 is an equidigital number, since it uses as much as digits as its factorization.

10317238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 273 counting only the distinct ones).

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

The spelling of 10317238272 in words is "ten billion, three hundred seventeen million, two hundred thirty-eight thousand, two hundred seventy-two".