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10245602242404 = 2232284600062289
BaseRepresentation
bin1001010100010111110101…
…1110110110111101100100
31100021110200122011212122200
42111011331132312331210
52320330443133224104
633442433101254500
72105135401065324
oct225057536667544
940243618155580
1010245602242404
1132a01543aa961
1211957bb564430
1359420508ac89
14275c6584b284
1512b7a1b17b39
hex9517d7b6f64

10245602242404 has 18 divisors (see below), whose sum is σ = 25898605668390. Its totient is φ = 3415200747456.

The previous prime is 10245602242289. The next prime is 10245602242451. The reversal of 10245602242404 is 40424220654201.

10245602242404 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 5 + 6 + 0 + 2 + 242 + 404 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9830482329600 + 415119912804 = 3135360^2 + 644298^2 .

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: 284600062289 = 10245602242404 / (1 + 0 + 2 + 4 + 5 + 6 + 0 + 2 + 2 + 4 + 2 + 4 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142300031109 + ... + 142300031180.

Almost surely, 210245602242404 is an apocalyptic number.

It is an amenable number.

10245602242404 is an abundant number, since it is smaller than the sum of its proper divisors (15653003425986).

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

10245602242404 is a wasteful number, since it uses less digits than its factorization.

10245602242404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284600062299 (or 284600062294 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 10245602242404 its reverse (40424220654201), we get a palindrome (50669822896605).

The spelling of 10245602242404 in words is "ten trillion, two hundred forty-five billion, six hundred two million, two hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 284600062289 569200124578 853800186867 1138400249156 1707600373734 2561400560601 3415200747468 5122801121202 10245602242404