10148402772 has 36 divisors (see below), whose sum is σ = 26346232276. Its totient is φ = 3291373440.

The previous prime is 10148402689. The next prime is 10148402783. The reversal of 10148402772 is 27720484101.

10148402772 is a `hidden beast` number, since 101 + 484 + 0 + 2 + 7 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9274845636 + 873557136 = 96306^2 + 29556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 3808129 + ... + 3810792.

Almost surely, 2^10148402772 is an apocalyptic number.

10148402772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10148402772 is an abundant number, since it is smaller than the sum of its proper divisors (16197829504).

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

10148402772 is a wasteful number, since it uses less digits than its factorization.

10148402772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618968 (or 7618963 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Adding to 10148402772 its reverse (27720484101), we get a palindrome (37868886873).

The spelling of 10148402772 in words is "ten billion, one hundred forty-eight million, four hundred two thousand, seven hundred seventy-two".