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10584519349 is a prime number
BaseRepresentation
bin10011101101110001…
…01111001010110101
31000022122122021221011
421312320233022311
5133134114104344
64510142552221
7523202633665
oct116670571265
930278567834
1010584519349
11454175a058
122074898671
13cc8b25a01
14725a3a1a5
1541e36dd34
hex276e2f2b5

10584519349 has 2 divisors, whose sum is σ = 10584519350. Its totient is φ = 10584519348.

The previous prime is 10584519331. The next prime is 10584519401. The reversal of 10584519349 is 94391548501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9797436324 + 787083025 = 98982^2 + 28055^2 .

It is a cyclic number.

It is not a de Polignac number, because 10584519349 - 229 = 10047648437 is a prime.

It is a super-2 number, since 2×105845193492 (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 (10584519329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292259674 + 5292259675.

It is an arithmetic number, because the mean of its divisors is an integer number (5292259675).

Almost surely, 210584519349 is an apocalyptic number.

It is an amenable number.

10584519349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584519349 is an equidigital number, since it uses as much as digits as its factorization.

10584519349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 10584519349 in words is "ten billion, five hundred eighty-four million, five hundred nineteen thousand, three hundred forty-nine".