10307413752 has 128 divisors (see below), whose sum is σ = 28954713600. Its totient is φ = 3040514048.

The previous prime is 10307413733. The next prime is 10307413829. The reversal of 10307413752 is 25731470301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544348 + ... + 562964.

It is an arithmetic number, because the mean of its divisors is an integer number (226208700).

Almost surely, 2^10307413752 is an apocalyptic number.

10307413752 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 10307413752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477356800).

10307413752 is an abundant number, since it is smaller than the sum of its proper divisors (18647299848).

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

10307413752 is a wasteful number, since it uses less digits than its factorization.

10307413752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18725 (or 18721 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 10307413752 in words is "ten billion, three hundred seven million, four hundred thirteen thousand, seven hundred fifty-two".