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166516164 = 22324625449
BaseRepresentation
bin10011110110011…
…01010111000100
3102121022220020100
421323031113010
5320112004124
624305004100
74061235603
oct1173152704
9377286210
10166516164
1185aa3071
1247923630
1328662699
1418187a3a
15e9431c9
hex9ecd5c4

166516164 has 18 divisors (see below), whose sum is σ = 420915950. Its totient is φ = 55505376.

The previous prime is 166516157. The next prime is 166516183. The reversal of 166516164 is 461615661.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 107993664 + 58522500 = 10392^2 + 7650^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4625449 = 166516164 / (1 + 6 + 6 + 5 + 1 + 6 + 1 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2312689 + ... + 2312760.

Almost surely, 2166516164 is an apocalyptic number.

It is an amenable number.

166516164 is an abundant number, since it is smaller than the sum of its proper divisors (254399786).

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

166516164 is a wasteful number, since it uses less digits than its factorization.

166516164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625459 (or 4625454 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 166516164 is about 12904.1142276407. The cubic root of 166516164 is about 550.1555086440.

The spelling of 166516164 in words is "one hundred sixty-six million, five hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4625449 9250898 13876347 18501796 27752694 41629041 55505388 83258082 166516164