Search a number
-
+
12406451786173 is a prime number
BaseRepresentation
bin1011010010001001101000…
…1001101101000110111101
31121221001012221211011120201
42310202122021231012331
53111231403124124143
642215240102243501
72420223304130524
oct264423211550675
947831187734521
1012406451786173
113a53601663695
121484553726591
136bcc0089a683
1430c6929954bb
15167ac0e4464d
hexb489a26d1bd

12406451786173 has 2 divisors, whose sum is σ = 12406451786174. Its totient is φ = 12406451786172.

The previous prime is 12406451786159. The next prime is 12406451786191. The reversal of 12406451786173 is 37168715460421.

12406451786173 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., 12273272042329 + 133179743844 = 3503323^2 + 364938^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12406451786173 is a prime.

It is a super-2 number, since 2×124064517861732 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12406451786873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6203225893086 + 6203225893087.

It is an arithmetic number, because the mean of its divisors is an integer number (6203225893087).

Almost surely, 212406451786173 is an apocalyptic number.

It is an amenable number.

12406451786173 is a deficient number, since it is larger than the sum of its proper divisors (1).

12406451786173 is an equidigital number, since it uses as much as digits as its factorization.

12406451786173 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 12406451786173 in words is "twelve trillion, four hundred six billion, four hundred fifty-one million, seven hundred eighty-six thousand, one hundred seventy-three".