Search a number
-
+
18348380568 = 23327172817621
BaseRepresentation
bin10001000101101001…
…100001000110011000
31202100201201022022200
4101011221201012120
5300034141134233
612232405250200
71216455442620
oct210551410630
952321638280
1018348380568
117866200991
123680a03960
13196546a62b
14c60bd5880
15725c72313
hex445a61198

18348380568 has 192 divisors, whose sum is σ = 60355264320. Its totient is φ = 4915814400.

The previous prime is 18348380539. The next prime is 18348380569. The reversal of 18348380568 is 86508384381.

18348380568 is a `hidden beast` number, since 1 + 8 + 3 + 48 + 38 + 0 + 568 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18348380569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2403798 + ... + 2411418.

It is an arithmetic number, because the mean of its divisors is an integer number (314350335).

Almost surely, 218348380568 is an apocalyptic number.

18348380568 is a gapful number since it is divisible by the number (18) 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 18348380568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30177632160).

18348380568 is an abundant number, since it is smaller than the sum of its proper divisors (42006883752).

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

18348380568 is a wasteful number, since it uses less digits than its factorization.

18348380568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 18348380568 in words is "eighteen billion, three hundred forty-eight million, three hundred eighty thousand, five hundred sixty-eight".