204283565382402 has 64 divisors (see below), whose sum is σ = 498271124574720. Its totient is φ = 61524330872400.

The previous prime is 204283565382367. The next prime is 204283565382439.

It is a happy number.

204283565382402 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 8 + 3 + 565 + 38 + 2 + 40 + 2 = 666.

204283565382402 is nontrivially palindromic in base 10.

204283565382402 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 2×204283565382402² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054847124 + ... + 1055040767.

It is an arithmetic number, because the mean of its divisors is an integer number (7785486321480).

Almost surely, 2^{204283565382402} is an apocalyptic number.

204283565382402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

204283565382402 is an abundant number, since it is smaller than the sum of its proper divisors (293987559192318).

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

204283565382402 is a wasteful number, since it uses less digits than its factorization.

204283565382402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109888076 (or 2109888070 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 204283565382402 in words is "two hundred four trillion, two hundred eighty-three billion, five hundred sixty-five million, three hundred eighty-two thousand, four hundred two".