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10456784953 is a prime number
BaseRepresentation
bin10011011110100010…
…11110000000111001
3222222202021201021121
421233101132000321
5132403414104303
64445341105241
7520062130336
oct115721360071
928882251247
1010456784953
11448664533a
122039b58221
13ca8521524
14712aa998d
1541303b9bd
hex26f45e039

10456784953 has 2 divisors, whose sum is σ = 10456784954. Its totient is φ = 10456784952.

The previous prime is 10456784927. The next prime is 10456784981. The reversal of 10456784953 is 35948765401.

10456784953 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., 10430128384 + 26656569 = 102128^2 + 5163^2 .

It is an emirp because it is prime and its reverse (35948765401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10456784953 - 221 = 10454687801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10456784953.

It is not a weakly prime, because it can be changed into another prime (10456784153) 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, 5228392476 + 5228392477.

It is an arithmetic number, because the mean of its divisors is an integer number (5228392477).

Almost surely, 210456784953 is an apocalyptic number.

It is an amenable number.

10456784953 is a deficient number, since it is larger than the sum of its proper divisors (1).

10456784953 is an equidigital number, since it uses as much as digits as its factorization.

10456784953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 10456784953 in words is "ten billion, four hundred fifty-six million, seven hundred eighty-four thousand, nine hundred fifty-three".