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116745981696 = 283417331183
BaseRepresentation
bin110110010111010011…
…0100100111100000000
3102011100020011100120000
41230232212210330000
53403043432403241
6125344331320000
711302034320401
oct1545646447400
9364306140500
10116745981696
114556a076aa3
121a761bb0000
13b016cb4456
1459170d99a8
153084486eb6
hex1b2e9a4f00

116745981696 has 180 divisors, whose sum is σ = 368593882272. Its totient is φ = 36626079744.

The previous prime is 116745981661. The next prime is 116745981697. The reversal of 116745981696 is 696189547611.

116745981696 is a `hidden beast` number, since 1 + 16 + 7 + 459 + 8 + 169 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116745981697) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 186921 + ... + 518103.

Almost surely, 2116745981696 is an apocalyptic number.

116745981696 is a gapful number since it is divisible by the number (16) 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 116745981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184296941136).

116745981696 is an abundant number, since it is smaller than the sum of its proper divisors (251847900576).

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

116745981696 is an equidigital number, since it uses as much as digits as its factorization.

116745981696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331228 (or 331205 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 116745981696 in words is "one hundred sixteen billion, seven hundred forty-five million, nine hundred eighty-one thousand, six hundred ninety-six".