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10165478977 is a prime number
BaseRepresentation
bin10010111011110100…
…01110011001000001
3222020110010211121101
421131322032121001
5131304330311402
64400413254401
7506624100643
oct113572163101
928213124541
1010165478977
1143471698a5
121b78494401
13c60078a24
146c611a893
153e7698b87
hex25de8e641

10165478977 has 2 divisors, whose sum is σ = 10165478978. Its totient is φ = 10165478976.

The previous prime is 10165478963. The next prime is 10165479029. The reversal of 10165478977 is 77987456101.

10165478977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1008242+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10165478976 + 1 = 100824^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 10165478977 - 219 = 10164954689 is a prime.

It is not a weakly prime, because it can be changed into another prime (10165478957) 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, 5082739488 + 5082739489.

It is an arithmetic number, because the mean of its divisors is an integer number (5082739489).

Almost surely, 210165478977 is an apocalyptic number.

It is an amenable number.

10165478977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10165478977 is an equidigital number, since it uses as much as digits as its factorization.

10165478977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2963520, while the sum is 55.

The spelling of 10165478977 in words is "ten billion, one hundred sixty-five million, four hundred seventy-eight thousand, nine hundred seventy-seven".