Search a number
-
+
115183080936000 = 26325371131670199
BaseRepresentation
bin11010001100001000100110…
…100111111001001001000000
3120002211101122221202002102200
4122030020212213321021000
5110044124422204423000
61044550213224113200
733155463056536560
oct3214104647711100
9502741587662380
10115183080936000
113377896340a730
1210b03304905800
134c3694438b8cc
142062c68756da0
15d4b299d6c500
hex68c2269f9240

115183080936000 has 1344 divisors, whose sum is σ = 530270303846400. Its totient is φ = 23162042880000.

The previous prime is 115183080935933. The next prime is 115183080936023. The reversal of 115183080936000 is 639080381511.

It is a happy number.

115183080936000 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 8 + 30 + 8 + 0 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 171528901 + ... + 172199099.

Almost surely, 2115183080936000 is an apocalyptic number.

115183080936000 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 115183080936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265135151923200).

115183080936000 is an abundant number, since it is smaller than the sum of its proper divisors (415087222910400).

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

115183080936000 is a wasteful number, since it uses less digits than its factorization.

115183080936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670281 (or 670258 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 115183080936000 in words is "one hundred fifteen trillion, one hundred eighty-three billion, eighty million, nine hundred thirty-six thousand".