10277249634 has 48 divisors (see below), whose sum is σ = 22523686848. Its totient is φ = 3386455776.

The previous prime is 10277249621. The next prime is 10277249657. The reversal of 10277249634 is 43694277201.

10277249634 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 7 + 2 + 4 + 9 + 634 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10277249634.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 932484 + ... + 943440.

It is an arithmetic number, because the mean of its divisors is an integer number (469243476).

Almost surely, 2^10277249634 is an apocalyptic number.

10277249634 is an abundant number, since it is smaller than the sum of its proper divisors (12246437214).

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

10277249634 is a wasteful number, since it uses less digits than its factorization.

10277249634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559 (or 11556 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10277249634 in words is "ten billion, two hundred seventy-seven million, two hundred forty-nine thousand, six hundred thirty-four".