10248687834 has 64 divisors (see below), whose sum is σ = 25591541760. Its totient is φ = 2658208320.

The previous prime is 10248687817. The next prime is 10248687853. The reversal of 10248687834 is 43878684201.

10248687834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10248687834² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 316752 + ... + 347604.

It is an arithmetic number, because the mean of its divisors is an integer number (399867840).

Almost surely, 2^10248687834 is an apocalyptic number.

10248687834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10248687834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12795770880).

10248687834 is an abundant number, since it is smaller than the sum of its proper divisors (15342853926).

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

10248687834 is a wasteful number, since it uses less digits than its factorization.

10248687834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31595.

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 10248687834 in words is "ten billion, two hundred forty-eight million, six hundred eighty-seven thousand, eight hundred thirty-four".