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10405967893 is a prime number
BaseRepresentation
bin10011011000011111…
…00111100000010101
3222212012122221101021
421230033213200111
5132302411433033
64440324001141
7515604160546
oct115417474025
928765587337
1010405967893
11445a996772
122024b301b1
13c9ab3b269
1470a03c4cd
1540d84eb2d
hex26c3e7815

10405967893 has 2 divisors, whose sum is σ = 10405967894. Its totient is φ = 10405967892.

The previous prime is 10405967863. The next prime is 10405967933. The reversal of 10405967893 is 39876950401.

It is a happy number.

10405967893 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., 9533179044 + 872788849 = 97638^2 + 29543^2 .

It is a cyclic number.

It is not a de Polignac number, because 10405967893 - 213 = 10405959701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10405967893.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10405967863) 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, 5202983946 + 5202983947.

It is an arithmetic number, because the mean of its divisors is an integer number (5202983947).

Almost surely, 210405967893 is an apocalyptic number.

It is an amenable number.

10405967893 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405967893 is an equidigital number, since it uses as much as digits as its factorization.

10405967893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 10405967893 in words is "ten billion, four hundred five million, nine hundred sixty-seven thousand, eight hundred ninety-three".