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116328088800 = 2532527113753107
BaseRepresentation
bin110110001010110110…
…0011100010011100000
3102010021002211012021100
41230111230130103200
53401214442320200
6125235042354400
711255501303640
oct1542554342340
9363232735240
10116328088800
114537519a970
121a66605ba00
13ac7b549851
1458b77d8520
15305c93bd00
hex1b15b1c4e0

116328088800 has 1728 divisors, whose sum is σ = 540154427904. Its totient is φ = 22859366400.

The previous prime is 116328088703. The next prime is 116328088831. The reversal of 116328088800 is 8880823611.

116328088800 is a `hidden beast` number, since 1 + 1 + 632 + 8 + 0 + 8 + 8 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×1163280888003 (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1087178347 + ... + 1087178453.

It is an arithmetic number, because the mean of its divisors is an integer number (312589368).

Almost surely, 2116328088800 is an apocalyptic number.

116328088800 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 116328088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270077213952).

116328088800 is an abundant number, since it is smaller than the sum of its proper divisors (423826339104).

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

116328088800 is a wasteful number, since it uses less digits than its factorization.

116328088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 116328088800 in words is "one hundred sixteen billion, three hundred twenty-eight million, eighty-eight thousand, eight hundred".