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11457165953 is a prime number
BaseRepresentation
bin10101010101110011…
…00111101010000001
31002120110200100000202
422222321213222001
5141431013302303
65132514454545
7553630206122
oct125271475201
932513610022
1011457165953
11494a2a93a2
122278b94455
131107862c4c
147a98b6049
15470c95c88
hex2aae67a81

11457165953 has 2 divisors, whose sum is σ = 11457165954. Its totient is φ = 11457165952.

The previous prime is 11457165949. The next prime is 11457166001. The reversal of 11457165953 is 35956175411.

11457165953 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., 9846989824 + 1610176129 = 99232^2 + 40127^2 .

It is a cyclic number.

It is not a de Polignac number, because 11457165953 - 22 = 11457165949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11457165898 and 11457165907.

It is not a weakly prime, because it can be changed into another prime (11457165253) 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, 5728582976 + 5728582977.

It is an arithmetic number, because the mean of its divisors is an integer number (5728582977).

Almost surely, 211457165953 is an apocalyptic number.

It is an amenable number.

11457165953 is a deficient number, since it is larger than the sum of its proper divisors (1).

11457165953 is an equidigital number, since it uses as much as digits as its factorization.

11457165953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 567000, while the sum is 47.

The spelling of 11457165953 in words is "eleven billion, four hundred fifty-seven million, one hundred sixty-five thousand, nine hundred fifty-three".