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10027668829 is a prime number
BaseRepresentation
bin10010101011011001…
…00001010101011101
3221212211211100121211
421111230201111131
5131014040400304
64335011424421
7503331531043
oct112554412535
927784740554
1010027668829
1142863a3012
121b3a2b5111
13c3a657369
146b1ac6393
153da526204
hex255b2155d

10027668829 has 2 divisors, whose sum is σ = 10027668830. Its totient is φ = 10027668828.

The previous prime is 10027668811. The next prime is 10027668881. The reversal of 10027668829 is 92886672001.

10027668829 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., 9944676729 + 82992100 = 99723^2 + 9110^2 .

It is a cyclic number.

It is not a de Polignac number, because 10027668829 - 213 = 10027660637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10027660829) 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, 5013834414 + 5013834415.

It is an arithmetic number, because the mean of its divisors is an integer number (5013834415).

Almost surely, 210027668829 is an apocalyptic number.

It is an amenable number.

10027668829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10027668829 is an equidigital number, since it uses as much as digits as its factorization.

10027668829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 10027668829 in words is "ten billion, twenty-seven million, six hundred sixty-eight thousand, eight hundred twenty-nine".