13730093604 has 18 divisors (see below), whose sum is σ = 34706625590. Its totient is φ = 4576697856.

The previous prime is 13730093579. The next prime is 13730093617. The reversal of 13730093604 is 40639003731.

13730093604 is a `hidden beast` number, since 13 + 7 + 30 + 0 + 9 + 3 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10526760000 + 3203333604 = 102600^2 + 56598^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 381391489 = 13730093604 / (1 + 3 + 7 + 3 + 0 + 0 + 9 + 3 + 6 + 0 + 4).

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 5 ways as a sum of consecutive naturals, for example, 190695709 + ... + 190695780.

Almost surely, 2^13730093604 is an apocalyptic number.

It is an amenable number.

13730093604 is an abundant number, since it is smaller than the sum of its proper divisors (20976531986).

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

13730093604 is a wasteful number, since it uses less digits than its factorization.

13730093604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381391499 (or 381391494 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 13730093604 in words is "thirteen billion, seven hundred thirty million, ninety-three thousand, six hundred four".