10302642432 has 54 divisors (see below), whose sum is σ = 29705064662. Its totient is φ = 3434213376.

The previous prime is 10302642421. The next prime is 10302642437. The reversal of 10302642432 is 23424620301.

10302642432 is a `hidden beast` number, since 10 + 3 + 0 + 2 + 642 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9289875456 + 1012766976 = 96384^2 + 31824^2 .

It is a super-2 number, since 2×10302642432² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302642396 and 10302642405.

It is not an unprimeable number, because it can be changed into a prime (10302642437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2233513 + ... + 2238120.

Almost surely, 2^10302642432 is an apocalyptic number.

10302642432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10302642432 is an abundant number, since it is smaller than the sum of its proper divisors (19402422230).

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

10302642432 is an equidigital number, since it uses as much as digits as its factorization.

10302642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471655 (or 4471638 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

It can be divided in two parts, 1030 and 2642432, that added together give a palindrome (2643462).

The spelling of 10302642432 in words is "ten billion, three hundred two million, six hundred forty-two thousand, four hundred thirty-two".