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166105656 = 23322718513
BaseRepresentation
bin10011110011010…
…01001000111000
3102120120001010100
421321221020320
5320010340111
624252115400
74054606023
oct1171511070
9376501110
10166105656
1185842702
1247765b60
132854a892
14180bc1ba
15e8b1756
hex9e69238

166105656 has 48 divisors (see below), whose sum is σ = 451582560. Its totient is φ = 55157760.

The previous prime is 166105651. The next prime is 166105673. The reversal of 166105656 is 656501661.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166105656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166105651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15256 + ... + 23768.

It is an arithmetic number, because the mean of its divisors is an integer number (9407970).

Almost surely, 2166105656 is an apocalyptic number.

It is an amenable number.

166105656 is an abundant number, since it is smaller than the sum of its proper divisors (285476904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166105656 is a wasteful number, since it uses less digits than its factorization.

166105656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 166105656 is about 12888.1983224964. The cubic root of 166105656 is about 549.7030418980.

The spelling of 166105656 in words is "one hundred sixty-six million, one hundred five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 271 542 813 1084 1626 2168 2439 3252 4878 6504 8513 9756 17026 19512 25539 34052 51078 68104 76617 102156 153234 204312 306468 612936 2307023 4614046 6921069 9228092 13842138 18456184 20763207 27684276 41526414 55368552 83052828 166105656