Search a number
-
+
116008935000 = 2335471723823
BaseRepresentation
bin110110000001010101…
…0111101111001011000
3102002102212021111120020
41230002222331321120
53400041241410000
6125143242030440
711244544451250
oct1540252757130
9362385244506
10116008935000
11452210239a2
121a5971a8420
13ac2a3a384a
14588727a960
15303e8e7ba0
hex1b02abde58

116008935000 has 480 divisors, whose sum is σ = 440097123840. Its totient is φ = 24950016000.

The previous prime is 116008934957. The next prime is 116008935013. The reversal of 116008935000 is 539800611.

116008935000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30343089 + ... + 30346911.

It is an arithmetic number, because the mean of its divisors is an integer number (916869008).

Almost surely, 2116008935000 is an apocalyptic number.

116008935000 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 116008935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220048561920).

116008935000 is an abundant number, since it is smaller than the sum of its proper divisors (324088188840).

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

116008935000 is a wasteful number, since it uses less digits than its factorization.

116008935000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 116008935000 in words is "one hundred sixteen billion, eight million, nine hundred thirty-five thousand".