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10242026849 is a prime number
BaseRepresentation
bin10011000100111100…
…01110110101100001
3222102210011212112202
421202132032311201
5131433424324344
64412150102545
7511543535405
oct114236166541
928383155482
1010242026849
1143863a23aa
121b9a04aa55
13c72b9aa22
146d2365105
153ee26994e
hex26278ed61

10242026849 has 2 divisors, whose sum is σ = 10242026850. Its totient is φ = 10242026848.

The previous prime is 10242026813. The next prime is 10242026863. The reversal of 10242026849 is 94862024201.

It is a happy number.

10242026849 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., 8684935249 + 1557091600 = 93193^2 + 39460^2 .

It is a cyclic number.

It is not a de Polignac number, because 10242026849 - 28 = 10242026593 is a prime.

It is a super-2 number, since 2×102420268492 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10242026449) 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, 5121013424 + 5121013425.

It is an arithmetic number, because the mean of its divisors is an integer number (5121013425).

Almost surely, 210242026849 is an apocalyptic number.

It is an amenable number.

10242026849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10242026849 is an equidigital number, since it uses as much as digits as its factorization.

10242026849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 10242026849 in words is "ten billion, two hundred forty-two million, twenty-six thousand, eight hundred forty-nine".