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116381712384 = 21837729
BaseRepresentation
bin110110001100011100…
…1000000000000000000
3102010101211201120000000
41230120321000000000
53401322204244014
6125244240000000
711260022142630
oct1543071000000
9363354646000
10116381712384
11453a2496083
121a680000000
13ac896a3392
1458c09966c0
1530624d0509
hex1b18e40000

116381712384 has 608 divisors, whose sum is σ = 412718726400. Its totient is φ = 32105299968.

The previous prime is 116381712383. The next prime is 116381712439. The reversal of 116381712384 is 483217183611.

116381712384 is a `hidden beast` number, since 1 + 1 + 638 + 1 + 7 + 1 + 2 + 3 + 8 + 4 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116381712383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4013162482 + ... + 4013162510.

Almost surely, 2116381712384 is an apocalyptic number.

116381712384 is a gapful number since it is divisible by the number (14) 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 116381712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206359363200).

116381712384 is an abundant number, since it is smaller than the sum of its proper divisors (296337014016).

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

116381712384 is an frugal number, since it uses more digits than its factorization.

116381712384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

Adding to 116381712384 its reverse (483217183611), we get a palindrome (599598895995).

The spelling of 116381712384 in words is "one hundred sixteen billion, three hundred eighty-one million, seven hundred twelve thousand, three hundred eighty-four".