Search a number
-
+
119808000000 = 216325613
BaseRepresentation
bin110111110010100011…
…1010000000000000000
3102110020121220000000100
41233211013100000000
53430331322000000
6131012233122400
711440645124433
oct1574507200000
9373217800010
10119808000000
11468a0546737
121b277559400
13b3b44a14c0
145b27a4781a
1531b31cba00
hex1be51d0000

119808000000 has 714 divisors, whose sum is σ = 465910481582. Its totient is φ = 29491200000.

The previous prime is 119807999977. The next prime is 119808000007. The reversal of 119808000000 is 808911.

It can be written as a sum of positive squares in 7 ways, for example, as 113671471104 + 6136528896 = 337152^2 + 78336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119808000007) 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 41 ways as a sum of consecutive naturals, for example, 9215999994 + ... + 9216000006.

Almost surely, 2119808000000 is an apocalyptic number.

119808000000 is a gapful number since it is divisible by the number (10) 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 119808000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232955240791).

119808000000 is an abundant number, since it is smaller than the sum of its proper divisors (346102481582).

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

119808000000 is an frugal number, since it uses more digits than its factorization.

119808000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 119808000000 its reverse (808911), we get a palindrome (119808808911).

The spelling of 119808000000 in words is "one hundred nineteen billion, eight hundred eight million", and thus it is an aban number.