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166132164611 = 72371031137873
BaseRepresentation
bin1001101010111000111…
…1111010100000000011
3120212211000222101102202
42122232033322200003
510210214313231421
6204153044503415
715000624046100
oct2325617724003
9525730871382
10166132164611
11645023041a6
12282453aab6b
131288782b4aa
1480800c7aa7
1544c4ed010b
hex26ae3fa803

166132164611 has 48 divisors (see below), whose sum is σ = 202205075904. Its totient is φ = 135973748736.

The previous prime is 166132164587. The next prime is 166132164643. The reversal of 166132164611 is 116461231661.

166132164611 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 166132164611 - 214 = 166132148227 is a prime.

It is a super-2 number, since 2×1661321646112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166132164691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21097571 + ... + 21105443.

It is an arithmetic number, because the mean of its divisors is an integer number (4212605748).

Almost surely, 2166132164611 is an apocalyptic number.

166132164611 is a deficient number, since it is larger than the sum of its proper divisors (36072911293).

166132164611 is a wasteful number, since it uses less digits than its factorization.

166132164611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8133 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The spelling of 166132164611 in words is "one hundred sixty-six billion, one hundred thirty-two million, one hundred sixty-four thousand, six hundred eleven".

Divisors: 1 7 37 49 103 113 259 721 791 1813 3811 4181 5047 5537 7873 11639 26677 29267 55111 81473 186739 204869 291301 385777 430643 570311 810919 889649 2039107 3014501 5676433 6227543 14273749 21101507 30004003 32917013 39735031 43592801 91633847 210028021 230419091 641436929 1470196147 1612933637 3390452339 4490058503 23733166373 166132164611