Base | Representation |
---|---|
bin | 1001011111101010000… |
… | …1001111111010000000 |
3 | 120121000220001111100000 |
4 | 2113322201033322000 |
5 | 10133030400403411 |
6 | 202533531200000 |
7 | 14533121002260 |
oct | 2277241177200 |
9 | 517026044300 |
10 | 163116809856 |
11 | 631a5206580 |
12 | 277435a6000 |
13 | 124c6bcc000 |
14 | 7c758457a0 |
15 | 439a406956 |
hex | 25fa84fe80 |
163116809856 has 1536 divisors, whose sum is σ = 678640435200. Its totient is φ = 37847347200.
The previous prime is 163116809789. The next prime is 163116809879. The reversal of 163116809856 is 658908611361.
163116809856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
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 191 ways as a sum of consecutive naturals, for example, 5261832561 + ... + 5261832591.
It is an arithmetic number, because the mean of its divisors is an integer number (441823200).
Almost surely, 2163116809856 is an apocalyptic number.
163116809856 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 163116809856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339320217600).
163116809856 is an abundant number, since it is smaller than the sum of its proper divisors (515523625344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163116809856 is an equidigital number, since it uses as much as digits as its factorization.
163116809856 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 1866240, while the sum is 54.
The spelling of 163116809856 in words is "one hundred sixty-three billion, one hundred sixteen million, eight hundred nine thousand, eight hundred fifty-six".
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