Search a number
-
+
663175168 = 214172381
BaseRepresentation
bin100111100001110…
…100000000000000
31201012212210022021
4213201310000000
52324233101133
6145450051224
722301616205
oct4741640000
91635783267
10663175168
11310388357
12166119b14
13a7517b56
146410dcac
153d34b52d
hex27874000

663175168 has 60 divisors (see below), whose sum is σ = 1404917892. Its totient is φ = 311951360.

The previous prime is 663175147. The next prime is 663175181. The reversal of 663175168 is 861571366.

It can be written as a sum of positive squares in 2 ways, for example, as 184090624 + 479084544 = 13568^2 + 21888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277338 + ... + 279718.

Almost surely, 2663175168 is an apocalyptic number.

663175168 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663175168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702458946).

663175168 is an abundant number, since it is smaller than the sum of its proper divisors (741742724).

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

663175168 is an equidigital number, since it uses as much as digits as its factorization.

663175168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2400 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 663175168 is about 25752.1876352282. The cubic root of 663175168 is about 872.0527420895.

The spelling of 663175168 in words is "six hundred sixty-three million, one hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 2381 4096 4352 4762 8192 8704 9524 16384 17408 19048 34816 38096 40477 69632 76192 80954 139264 152384 161908 278528 304768 323816 609536 647632 1219072 1295264 2438144 2590528 4876288 5181056 9752576 10362112 19505152 20724224 39010304 41448448 82896896 165793792 331587584 663175168