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115533540000 = 25345471317
BaseRepresentation
bin110101110011001010…
…1011110101010100000
3102001012201201221020000
41223212111132222200
53343103041240000
6125024140420000
711230012613064
oct1534625365240
9361181657200
10115533540000
1144aa774266a
121a483b47600
13ab82a54c28
14584008baa4
153012ce0000
hex1ae655eaa0

115533540000 has 300 divisors, whose sum is σ = 424596206034. Its totient is φ = 30808512000.

The previous prime is 115533539983. The next prime is 115533540053. The reversal of 115533540000 is 45335511.

115533540000 is a `hidden beast` number, since 115 + 5 + 3 + 3 + 540 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 66781584 + 115466758416 = 8172^2 + 339804^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 49 ways as a sum of consecutive naturals, for example, 1584342 + ... + 1655658.

Almost surely, 2115533540000 is an apocalyptic number.

115533540000 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 115533540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212298103017).

115533540000 is an abundant number, since it is smaller than the sum of its proper divisors (309062666034).

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

115533540000 is an frugal number, since it uses more digits than its factorization.

115533540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71359 (or 71327 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 115533540000 its reverse (45335511), we get a palindrome (115578875511).

It can be divided in two parts, 11553 and 3540000, that added together give a palindrome (3551553).

The spelling of 115533540000 in words is "one hundred fifteen billion, five hundred thirty-three million, five hundred forty thousand".