Search a number
-
+
13536460781 is a prime number
BaseRepresentation
bin11001001101101010…
…11111111111101101
31021221101020110022022
430212311133333231
5210210313221111
610115113155525
7656306006144
oct144665377755
937841213268
1013536460781
115816a85378
1227593bbba5
13137958170c
14925ad275b
155435bd2db
hex326d5ffed

13536460781 has 2 divisors, whose sum is σ = 13536460782. Its totient is φ = 13536460780.

The previous prime is 13536460723. The next prime is 13536460807. The reversal of 13536460781 is 18706463531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11726724100 + 1809736681 = 108290^2 + 42541^2 .

It is a cyclic number.

It is not a de Polignac number, because 13536460781 - 222 = 13532266477 is a prime.

It is a super-2 number, since 2×135364607812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13536460981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6768230390 + 6768230391.

It is an arithmetic number, because the mean of its divisors is an integer number (6768230391).

Almost surely, 213536460781 is an apocalyptic number.

It is an amenable number.

13536460781 is a deficient number, since it is larger than the sum of its proper divisors (1).

13536460781 is an equidigital number, since it uses as much as digits as its factorization.

13536460781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 13536460781 in words is "thirteen billion, five hundred thirty-six million, four hundred sixty thousand, seven hundred eighty-one".