Search a number
-
+
162936705553 is a prime number
BaseRepresentation
bin1001011110111111001…
…0001101001000010001
3120120120100011020200021
42113233302031020101
510132143244034203
6202504015023441
714525503100656
oct2275762151021
9516510136607
10162936705553
1163112582546
12276b320ab81
13124987bc80b
147c59961c2d
1543896cc5bd
hex25efc8d211

162936705553 has 2 divisors, whose sum is σ = 162936705554. Its totient is φ = 162936705552.

The previous prime is 162936705551. The next prime is 162936705559. The reversal of 162936705553 is 355507639261.

162936705553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148465337344 + 14471368209 = 385312^2 + 120297^2 .

It is an emirp because it is prime and its reverse (355507639261) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 162936705553 - 21 = 162936705551 is a prime.

Together with 162936705551, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 162936705553.

It is not a weakly prime, because it can be changed into another prime (162936705551) 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 as a sum of consecutive naturals, namely, 81468352776 + 81468352777.

It is an arithmetic number, because the mean of its divisors is an integer number (81468352777).

Almost surely, 2162936705553 is an apocalyptic number.

It is an amenable number.

162936705553 is a deficient number, since it is larger than the sum of its proper divisors (1).

162936705553 is an equidigital number, since it uses as much as digits as its factorization.

162936705553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103000, while the sum is 52.

The spelling of 162936705553 in words is "one hundred sixty-two billion, nine hundred thirty-six million, seven hundred five thousand, five hundred fifty-three".