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166052052116065 = 51129170291727393
BaseRepresentation
bin100101110000011000000001…
…100101001010001001100001
3210202221102101000111001210201
4211300120001211022021201
5133231044100320203230
61345055132025425201
746655602435366453
oct4560300145121141
9722842330431721
10166052052116065
1148a003094a6975
121675a00033b201
137186844cb78ab
142d00d6840c2d3
15142e5dce095ca
hex97060194a261

166052052116065 has 16 divisors (see below), whose sum is σ = 199450784379600. Its totient is φ = 132716107763712.

The previous prime is 166052052116057. The next prime is 166052052116077. The reversal of 166052052116065 is 560611250250661.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1872343408896 + 164179708707169 = 1368336^2 + 12813263^2 .

It is a cyclic number.

It is not a de Polignac number, because 166052052116065 - 23 = 166052052116057 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 95265009 + ... + 96992401.

It is an arithmetic number, because the mean of its divisors is an integer number (12465674023725).

Almost surely, 2166052052116065 is an apocalyptic number.

It is an amenable number.

166052052116065 is a deficient number, since it is larger than the sum of its proper divisors (33398732263535).

166052052116065 is a wasteful number, since it uses less digits than its factorization.

166052052116065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745556.

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 166052052116065 in words is "one hundred sixty-six trillion, fifty-two billion, fifty-two million, one hundred sixteen thousand, sixty-five".

Divisors: 1 5 1129 5645 17029 85145 1727393 8636965 19225741 96128705 1950226697 9751133485 29415775397 147078876985 33210410423213 166052052116065