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166188841 = 7213260893
BaseRepresentation
bin10011110011111…
…01011100101001
3102120201021020021
421321331130221
5320021020331
624254000441
74055403400
oct1171753451
9376637207
10166188841
118589a155
12477a6121
13285796c0
1418100637
15e8cb211
hex9e7d729

166188841 has 12 divisors (see below), whose sum is σ = 208193412. Its totient is φ = 131489568.

The previous prime is 166188829. The next prime is 166188871. The reversal of 166188841 is 148881661.

It can be written as a sum of positive squares in 2 ways, for example, as 95628841 + 70560000 = 9779^2 + 8400^2 .

It is not a de Polignac number, because 166188841 - 213 = 166180649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (166188871) 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 11 ways as a sum of consecutive naturals, for example, 129810 + ... + 131083.

It is an arithmetic number, because the mean of its divisors is an integer number (17349451).

Almost surely, 2166188841 is an apocalyptic number.

It is an amenable number.

166188841 is a deficient number, since it is larger than the sum of its proper divisors (42004571).

166188841 is a wasteful number, since it uses less digits than its factorization.

166188841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260920 (or 260913 counting only the distinct ones).

The product of its digits is 73728, while the sum is 43.

The square root of 166188841 is about 12891.4250957759. The cubic root of 166188841 is about 549.7947895592.

The spelling of 166188841 in words is "one hundred sixty-six million, one hundred eighty-eight thousand, eight hundred forty-one".

Divisors: 1 7 13 49 91 637 260893 1826251 3391609 12783757 23741263 166188841