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10405967933 is a prime number
BaseRepresentation
bin10011011000011111…
…00111100000111101
3222212012122221102202
421230033213200331
5132302411433213
64440324001245
7515604160634
oct115417474075
928765587382
1010405967933
11445a9967a9
122024b30225
13c9ab3b29a
1470a03c51b
1540d84eb58
hex26c3e783d

10405967933 has 2 divisors, whose sum is σ = 10405967934. Its totient is φ = 10405967932.

The previous prime is 10405967893. The next prime is 10405967953. The reversal of 10405967933 is 33976950401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8437892164 + 1968075769 = 91858^2 + 44363^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10405967933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10405967953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202983966 + 5202983967.

It is an arithmetic number, because the mean of its divisors is an integer number (5202983967).

Almost surely, 210405967933 is an apocalyptic number.

It is an amenable number.

10405967933 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405967933 is an equidigital number, since it uses as much as digits as its factorization.

10405967933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 612360, while the sum is 47.

The spelling of 10405967933 in words is "ten billion, four hundred five million, nine hundred sixty-seven thousand, nine hundred thirty-three".