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10643124893 is a prime number
BaseRepresentation
bin10011110100110000…
…10011001010011101
31000110201220202121212
421322120103022131
5133244114444033
64520035034205
7524514032432
oct117230231235
930421822555
1010643124893
114571848295
12209043b965
13100800504b
1472d733b89
15424598748
hex27a61329d

10643124893 has 2 divisors, whose sum is σ = 10643124894. Its totient is φ = 10643124892.

The previous prime is 10643124883. The next prime is 10643124917. The reversal of 10643124893 is 39842134601.

10643124893 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., 9394067929 + 1249056964 = 96923^2 + 35342^2 .

It is a cyclic number.

It is not a de Polignac number, because 10643124893 - 226 = 10576016029 is a prime.

It is a super-2 number, since 2×106431248932 (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 10643124893.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10643124883) 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, 5321562446 + 5321562447.

It is an arithmetic number, because the mean of its divisors is an integer number (5321562447).

Almost surely, 210643124893 is an apocalyptic number.

It is an amenable number.

10643124893 is a deficient number, since it is larger than the sum of its proper divisors (1).

10643124893 is an equidigital number, since it uses as much as digits as its factorization.

10643124893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 10643124893 in words is "ten billion, six hundred forty-three million, one hundred twenty-four thousand, eight hundred ninety-three".