Base | Representation |
---|---|
bin | 10011110010100… |
… | …01110100000000 |
3 | 102120101012001200 |
4 | 21321101310000 |
5 | 314444310422 |
6 | 24250101200 |
7 | 4054030332 |
oct | 1171216400 |
9 | 376335050 |
10 | 166010112 |
11 | 85787944 |
12 | 4771a800 |
13 | 28516248 |
14 | 18095452 |
15 | e8932ac |
hex | 9e51d00 |
166010112 has 54 divisors (see below), whose sum is σ = 478654722. Its totient is φ = 55335936.
The previous prime is 166010111. The next prime is 166010171. The reversal of 166010112 is 211010661.
166010112 is a `hidden beast` number, since 1 + 660 + 1 + 0 + 1 + 1 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 108493056 + 57517056 = 10416^2 + 7584^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (166010111) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33723 + ... + 38330.
Almost surely, 2166010112 is an apocalyptic number.
166010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
166010112 is an abundant number, since it is smaller than the sum of its proper divisors (312644610).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
166010112 is an equidigital number, since it uses as much as digits as its factorization.
166010112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72075 (or 72058 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
The square root of 166010112 is about 12884.4911424549. The cubic root of 166010112 is about 549.5976252575.
Adding to 166010112 its reverse (211010661), we get a palindrome (377020773).
The spelling of 166010112 in words is "one hundred sixty-six million, ten thousand, one hundred twelve".
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