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10900635649 is a prime number
BaseRepresentation
bin10100010011011101…
…01000000000000001
31001010200110122222021
422021232220000001
5134311030320044
65001354241441
7534061605601
oct121156500001
931120418867
1010900635649
1146941409a2
122142726281
131049477287
14755a06c01
1543beb2e84
hex289ba8001

10900635649 has 2 divisors, whose sum is σ = 10900635650. Its totient is φ = 10900635648.

The previous prime is 10900635619. The next prime is 10900635653. The reversal of 10900635649 is 94653600901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10011403249 + 889232400 = 100057^2 + 29820^2 .

It is an emirp because it is prime and its reverse (94653600901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10900635649 - 213 = 10900627457 is a prime.

It is not a weakly prime, because it can be changed into another prime (10900635619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5450317824 + 5450317825.

It is an arithmetic number, because the mean of its divisors is an integer number (5450317825).

Almost surely, 210900635649 is an apocalyptic number.

It is an amenable number.

10900635649 is a deficient number, since it is larger than the sum of its proper divisors (1).

10900635649 is an equidigital number, since it uses as much as digits as its factorization.

10900635649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 10900635649 in words is "ten billion, nine hundred million, six hundred thirty-five thousand, six hundred forty-nine".