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166163661 = 32172322053
BaseRepresentation
bin10011110011101…
…11010011001101
3102120122222200200
421321313103031
5320014214121
624253244113
74055240106
oct1171672315
9376588620
10166163661
1185882244
1247793639
132856b0c1
14180d53ad
15e8c3a26
hex9e774cd

166163661 has 36 divisors (see below), whose sum is σ = 265791708. Its totient is φ = 99677952.

The previous prime is 166163651. The next prime is 166163677. The reversal of 166163661 is 166361661.

It is a happy number.

166163661 is a `hidden beast` number, since 1 + 6 + 616 + 36 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108555561 + 57608100 = 10419^2 + 7590^2 .

It is not a de Polignac number, because 166163661 - 25 = 166163629 is a prime.

It is a super-2 number, since 2×1661636612 = 55220724473845842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166163651) 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 35 ways as a sum of consecutive naturals, for example, 79911 + ... + 81963.

It is an arithmetic number, because the mean of its divisors is an integer number (7383103).

Almost surely, 2166163661 is an apocalyptic number.

It is an amenable number.

166163661 is a deficient number, since it is larger than the sum of its proper divisors (99628047).

166163661 is a wasteful number, since it uses less digits than its factorization.

166163661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2096 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 166163661 is about 12890.4484406090. The cubic root of 166163661 is about 549.7670208836.

The spelling of 166163661 in words is "one hundred sixty-six million, one hundred sixty-three thousand, six hundred sixty-one".

Divisors: 1 3 9 17 23 51 69 153 207 391 529 1173 1587 2053 3519 4761 6159 8993 18477 26979 34901 47219 80937 104703 141657 314109 424971 802723 1086037 2408169 3258111 7224507 9774333 18462629 55387887 166163661