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6400053349 is a prime number
BaseRepresentation
bin1011111010111100…
…10001000001100101
3121112000211101200221
411331132101001211
5101101403201344
62535023204341
7314412361444
oct57536210145
917460741627
106400053349
112794732898
1212a74466b1
137acc28721
14449dc8d5b
15276d0c184
hex17d791065

6400053349 has 2 divisors, whose sum is σ = 6400053350. Its totient is φ = 6400053348.

The previous prime is 6400053313. The next prime is 6400053371. The reversal of 6400053349 is 9433500046.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6275016225 + 125037124 = 79215^2 + 11182^2 .

It is a cyclic number.

It is not a de Polignac number, because 6400053349 - 215 = 6400020581 is a prime.

It is a super-2 number, since 2×64000533492 = 81921365740092231602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6400053389) 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, 3200026674 + 3200026675.

It is an arithmetic number, because the mean of its divisors is an integer number (3200026675).

Almost surely, 26400053349 is an apocalyptic number.

It is an amenable number.

6400053349 is a deficient number, since it is larger than the sum of its proper divisors (1).

6400053349 is an equidigital number, since it uses as much as digits as its factorization.

6400053349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 6400053349 is about 80000.3334305552. Note that the first 3 decimals coincide. The cubic root of 6400053349 is about 1856.6406922667.

The spelling of 6400053349 in words is "six billion, four hundred million, fifty-three thousand, three hundred forty-nine".