Search a number
-
+
11706816832506 = 2324142973691621
BaseRepresentation
bin1010101001011011010010…
…1010001010001111111010
31112110011100012020001021100
42222112310222022033322
53013301030102120011
640522012025152230
72315534556136155
oct252266452121772
945404305201240
1011706816832506
1138039189a6784
121390a3932b676
1366bc42c543a3
142c6881d56c9c
151547c3e48d56
hexaa5b4a8a3fa

11706816832506 has 48 divisors (see below), whose sum is σ = 25989476641128. Its totient is φ = 3806207884800.

The previous prime is 11706816832499. The next prime is 11706816832549. The reversal of 11706816832506 is 60523861860711.

It is a happy number.

11706816832506 is a `hidden beast` number, since 1 + 1 + 70 + 6 + 8 + 1 + 68 + 3 + 2 + 506 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4926735140625 + 6780081691881 = 2219625^2 + 2603859^2 .

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 23 ways as a sum of consecutive naturals, for example, 1325376 + ... + 5016996.

Almost surely, 211706816832506 is an apocalyptic number.

11706816832506 is an abundant number, since it is smaller than the sum of its proper divisors (14282659808622).

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

11706816832506 is a wasteful number, since it uses less digits than its factorization.

11706816832506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695967 (or 3695964 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 11706816832506 in words is "eleven trillion, seven hundred six billion, eight hundred sixteen million, eight hundred thirty-two thousand, five hundred six".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 4297 8594 12891 25782 38673 77346 176177 352354 528531 1057062 1585593 3171186 3691621 7383242 11074863 22149726 33224589 66449178 151356461 302712922 454069383 908138766 1362208149 2724416298 15862895437 31725790874 47588686311 95177372622 142766058933 285532117866 650378712917 1300757425834 1951136138751 3902272277502 5853408416253 11706816832506