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166442727244661 = 753895040816719
BaseRepresentation
bin100101110110000011110111…
…101000100000001101110101
3210211022202202211122212222222
4211312003313220200031311
5133303444201133312121
61345554422221332125
750026042641241460
oct4566036750401565
9724282684585888
10166442727244661
1149040a6741637a
1216801870707045
1371b463577a33a
142d15c29d902d7
151439855d530ab
hex9760f7a20375

166442727244661 has 16 divisors (see below), whose sum is σ = 195986954073600. Its totient is φ = 138400663809408.

The previous prime is 166442727244657. The next prime is 166442727244691.

It is a happy number.

166442727244661 is nontrivially palindromic in base 10.

166442727244661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166442727244661 - 22 = 166442727244657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 166442727244594 and 166442727244603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166442727244691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2520375341 + ... + 2520441378.

It is an arithmetic number, because the mean of its divisors is an integer number (12249184629600).

Almost surely, 2166442727244661 is an apocalyptic number.

It is an amenable number.

166442727244661 is a deficient number, since it is larger than the sum of its proper divisors (29544226828939).

166442727244661 is an equidigital number, since it uses as much as digits as its factorization.

166442727244661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040816868.

The product of its digits is 130056192, while the sum is 62.

The spelling of 166442727244661 in words is "one hundred sixty-six trillion, four hundred forty-two billion, seven hundred twenty-seven million, two hundred forty-four thousand, six hundred sixty-one".

Divisors: 1 7 53 89 371 623 4717 33019 5040816719 35285717033 267163286107 448632687991 1870143002749 3140428815937 23777532463523 166442727244661