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13642778293 is a prime number
BaseRepresentation
bin11001011010010110…
…00100011010110101
31022012210021221111221
430231023010122311
5210420022401133
610133432030341
7662036462554
oct145513043265
938183257457
1013642778293
115870aa1291
122788b323b1
1313955c78a1
14935c89d9b
1554cabea2d
hex32d2c46b5

13642778293 has 2 divisors, whose sum is σ = 13642778294. Its totient is φ = 13642778292.

The previous prime is 13642778257. The next prime is 13642778311. The reversal of 13642778293 is 39287724631.

13642778293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12863642724 + 779135569 = 113418^2 + 27913^2 .

It is a cyclic number.

It is not a de Polignac number, because 13642778293 - 213 = 13642770101 is a prime.

It is a super-2 number, since 2×136427782932 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13642778293.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13642778213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6821389146 + 6821389147.

It is an arithmetic number, because the mean of its divisors is an integer number (6821389147).

Almost surely, 213642778293 is an apocalyptic number.

It is an amenable number.

13642778293 is a deficient number, since it is larger than the sum of its proper divisors (1).

13642778293 is an equidigital number, since it uses as much as digits as its factorization.

13642778293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3048192, while the sum is 52.

The spelling of 13642778293 in words is "thirteen billion, six hundred forty-two million, seven hundred seventy-eight thousand, two hundred ninety-three".