Search a number
-
+
8338257555156 = 2232231618265421
BaseRepresentation
bin111100101010110011011…
…1000010010111011010100
31002112010111111122121010200
41321111212320102323110
52043103222413231111
625422313113220500
71520263536540354
oct171254670227324
932463444577120
108338257555156
112725265014a11
12b28015701730
134863a97b7469
1420b8067b8b64
15e6d6d171256
hex79566e12ed4

8338257555156 has 18 divisors (see below), whose sum is σ = 21077262153402. Its totient is φ = 2779419185040.

The previous prime is 8338257555149. The next prime is 8338257555161. The reversal of 8338257555156 is 6515557528338.

8338257555156 is a `hidden beast` number, since 8 + 3 + 3 + 8 + 2 + 5 + 75 + 551 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8157215815056 + 181041740100 = 2856084^2 + 425490^2 .

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

It is a super-2 number, since 2×83382575551562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8338257555093 and 8338257555102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115809132675 + ... + 115809132746.

Almost surely, 28338257555156 is an apocalyptic number.

It is an amenable number.

8338257555156 is an abundant number, since it is smaller than the sum of its proper divisors (12739004598246).

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

8338257555156 is a wasteful number, since it uses less digits than its factorization.

8338257555156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231618265431 (or 231618265426 counting only the distinct ones).

The product of its digits is 151200000, while the sum is 63.

The spelling of 8338257555156 in words is "eight trillion, three hundred thirty-eight billion, two hundred fifty-seven million, five hundred fifty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 231618265421 463236530842 694854796263 926473061684 1389709592526 2084564388789 2779419185052 4169128777578 8338257555156