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163942641 = 3241444289
BaseRepresentation
bin10011100010110…
…01000011110001
3102102111011000200
421301121003301
5313432131031
624133505413
74030326612
oct1161310361
9372434020
10163942641
11845a5595
1246aa2269
1327c711a5
1417ab7c09
15e5d58e6
hex9c590f1

163942641 has 12 divisors (see below), whose sum is σ = 242582340. Its totient is φ = 106629120.

The previous prime is 163942637. The next prime is 163942673. The reversal of 163942641 is 146249361.

163942641 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 4 + 2 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 156125025 = 2796^2 + 12495^2 .

It is not a de Polignac number, because 163942641 - 22 = 163942637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 163942596 and 163942605.

It is not an unprimeable number, because it can be changed into a prime (163942841) 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, 221776 + ... + 222513.

It is an arithmetic number, because the mean of its divisors is an integer number (20215195).

Almost surely, 2163942641 is an apocalyptic number.

It is an amenable number.

163942641 is a deficient number, since it is larger than the sum of its proper divisors (78639699).

163942641 is a wasteful number, since it uses less digits than its factorization.

163942641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444336 (or 444333 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 163942641 is about 12804.0087863138. The cubic root of 163942641 is about 547.3065457767.

The spelling of 163942641 in words is "one hundred sixty-three million, nine hundred forty-two thousand, six hundred forty-one".

Divisors: 1 3 9 41 123 369 444289 1332867 3998601 18215849 54647547 163942641