Search a number
-
+
165407615713 is a prime number
BaseRepresentation
bin1001101000001100001…
…1111110101011100001
3120210221112121111012101
42122003003332223201
510202223322200323
6203553123130401
714643645351454
oct2320303765341
9523845544171
10165407615713
116417031795a
1228082813a01
13127a06a5332
148011b9d49b
1544815addad
hex26830feae1

165407615713 has 2 divisors, whose sum is σ = 165407615714. Its totient is φ = 165407615712.

The previous prime is 165407615693. The next prime is 165407615761. The reversal of 165407615713 is 317516704561.

165407615713 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., 160522025104 + 4885590609 = 400652^2 + 69897^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-165407615713 is a prime.

It is not a weakly prime, because it can be changed into another prime (165407615413) 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, 82703807856 + 82703807857.

It is an arithmetic number, because the mean of its divisors is an integer number (82703807857).

Almost surely, 2165407615713 is an apocalyptic number.

It is an amenable number.

165407615713 is a deficient number, since it is larger than the sum of its proper divisors (1).

165407615713 is an equidigital number, since it uses as much as digits as its factorization.

165407615713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 165407615713 in words is "one hundred sixty-five billion, four hundred seven million, six hundred fifteen thousand, seven hundred thirteen".