Search a number
-
+
30159685116 = 223211241473593
BaseRepresentation
bin11100000101101010…
…000100010111111100
32212211212202202011200
4130011222010113330
5443231334410431
621504414415500
72115246044061
oct340552042774
985755682150
1030159685116
11118773a0900
125a18501590
132ac84a5432
141661734c68
15bb7b6cee6
hex705a845fc

30159685116 has 216 divisors, whose sum is σ = 87692334912. Its totient is φ = 8724249600.

The previous prime is 30159685097. The next prime is 30159685151. The reversal of 30159685116 is 61158695103.

30159685116 is a `hidden beast` number, since 3 + 0 + 1 + 596 + 8 + 51 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8392216 + ... + 8395808.

It is an arithmetic number, because the mean of its divisors is an integer number (405983032).

Almost surely, 230159685116 is an apocalyptic number.

30159685116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30159685116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43846167456).

30159685116 is an abundant number, since it is smaller than the sum of its proper divisors (57532649796).

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

30159685116 is a wasteful number, since it uses less digits than its factorization.

30159685116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 30159685116 in words is "thirty billion, one hundred fifty-nine million, six hundred eighty-five thousand, one hundred sixteen".