Search a number
-
+
162838684073 = 1329431932849
BaseRepresentation
bin1001011110100111110…
…0010010000110101001
3120120022111201020111002
42113221330102012221
510131443200342243
6202450154044345
714523202656032
oct2275174220651
9516274636432
10162838684073
116307221255a
12276864196b5
13124813bc740
147c4a927a89
154380cb8eb8
hex25e9f121a9

162838684073 has 8 divisors (see below), whose sum is σ = 181411797000. Its totient is φ = 145129436928.

The previous prime is 162838684069. The next prime is 162838684081. The reversal of 162838684073 is 370486838261.

162838684073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41931571984 + 120907112089 = 204772^2 + 347717^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 162838684073 - 22 = 162838684069 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (162838684033) 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 7 ways as a sum of consecutive naturals, for example, 215966048 + ... + 215966801.

It is an arithmetic number, because the mean of its divisors is an integer number (22676474625).

Almost surely, 2162838684073 is an apocalyptic number.

162838684073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

162838684073 is a deficient number, since it is larger than the sum of its proper divisors (18573112927).

162838684073 is a wasteful number, since it uses less digits than its factorization.

162838684073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431932891.

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 162838684073 in words is "one hundred sixty-two billion, eight hundred thirty-eight million, six hundred eighty-four thousand, seventy-three".

Divisors: 1 13 29 377 431932849 5615127037 12526052621 162838684073