Search a number
-
+
116794419198912 = 26327313293155201
BaseRepresentation
bin11010100011100101010001…
…110111100011101111000000
3120022112102210212222000010100
4122203211101313203233000
5110302024432303331122
61052222340535202400
733413055405021000
oct3243452167435700
9508472725860110
10116794419198912
113423a2648a4934
121112365a816400
135022888316050
1420bac46c08000
15d78156a5baac
hex6a3951de3bc0

116794419198912 has 672 divisors, whose sum is σ = 421871069692800. Its totient is φ = 30697596518400.

The previous prime is 116794419198883. The next prime is 116794419198931. The reversal of 116794419198912 is 219891914497611.

116794419198912 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 9 + 4 + 419 + 198 + 9 + 12 = 666.

116794419198912 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1167944191989122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 752458912 + ... + 752614112.

It is an arithmetic number, because the mean of its divisors is an integer number (627784329900).

Almost surely, 2116794419198912 is an apocalyptic number.

116794419198912 is a gapful number since it is divisible by the number (12) 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 116794419198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210935534846400).

116794419198912 is an abundant number, since it is smaller than the sum of its proper divisors (305076650493888).

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

116794419198912 is a wasteful number, since it uses less digits than its factorization.

116794419198912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155546 (or 155519 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 72.

The spelling of 116794419198912 in words is "one hundred sixteen trillion, seven hundred ninety-four billion, four hundred nineteen million, one hundred ninety-eight thousand, nine hundred twelve".