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166182393045 = 351743147110303
BaseRepresentation
bin1001101011000100111…
…1100001010011010101
3120212221112111020220010
42122301033201103111
510210320143034140
6204202041230433
715002104014504
oct2326117412325
9525845436803
10166182393045
11645286a05a9
122825a192419
1312895066866
148086a4083b
1544c9602880
hex26b13e14d5

166182393045 has 64 divisors (see below), whose sum is σ = 288303611904. Its totient is φ = 81413821440.

The previous prime is 166182393031. The next prime is 166182393053. The reversal of 166182393045 is 540393281661.

166182393045 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 166182393045 - 24 = 166182393029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166182392985 and 166182393003.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16124364 + ... + 16134666.

It is an arithmetic number, because the mean of its divisors is an integer number (4504743936).

Almost surely, 2166182393045 is an apocalyptic number.

166182393045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166182393045 is a deficient number, since it is larger than the sum of its proper divisors (122121218859).

166182393045 is a wasteful number, since it uses less digits than its factorization.

166182393045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11842.

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 166182393045 in words is "one hundred sixty-six billion, one hundred eighty-two million, three hundred ninety-three thousand, forty-five".

Divisors: 1 3 5 15 17 43 51 85 129 215 255 645 731 1471 2193 3655 4413 7355 10303 10965 22065 25007 30909 51515 63253 75021 125035 154545 175151 189759 316265 375105 443029 525453 875755 948795 1075301 1329087 2215145 2627265 3225903 5376505 6645435 7531493 15155713 16129515 22594479 37657465 45467139 75778565 112972395 227335695 257647121 651695659 772941363 1288235605 1955086977 3258478295 3864706815 9775434885 11078826203 33236478609 55394131015 166182393045