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166116141 = 3288320903
BaseRepresentation
bin10011110011010…
…11101100101101
3102120120120111200
421321223230231
5320011204031
624252240113
74054651422
oct1171535455
9376516450
10166116141
118584a574
1247770039
1328552599
14180c1d49
15e8b48e6
hex9e6bb2d

166116141 has 12 divisors (see below), whose sum is σ = 240228768. Its totient is φ = 110613384.

The previous prime is 166116131. The next prime is 166116149. The reversal of 166116141 is 141611661.

It is a happy number.

166116141 is a `hidden beast` number, since 1 + 6 + 611 + 6 + 1 + 41 = 666.

It is not a de Polignac number, because 166116141 - 218 = 165853997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166116149) 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, 2505 + ... + 18398.

It is an arithmetic number, because the mean of its divisors is an integer number (20019064).

Almost surely, 2166116141 is an apocalyptic number.

It is an amenable number.

166116141 is a deficient number, since it is larger than the sum of its proper divisors (74112627).

166116141 is a wasteful number, since it uses less digits than its factorization.

166116141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21792 (or 21789 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 166116141 is about 12888.6050835612. The cubic root of 166116141 is about 549.7146078600.

The spelling of 166116141 in words is "one hundred sixty-six million, one hundred sixteen thousand, one hundred forty-one".

Divisors: 1 3 9 883 2649 7947 20903 62709 188127 18457349 55372047 166116141