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10064979577 is a prime number
BaseRepresentation
bin10010101111110101…
…10110011001111001
3221222110000221100101
421113322312121321
5131103113321302
64342423235401
7504263625532
oct112772663171
927873027311
1010064979577
1142a5467144
121b4a8a8b61
13c452bbb23
146b6a39689
153dd946287
hex257eb6679

10064979577 has 2 divisors, whose sum is σ = 10064979578. Its totient is φ = 10064979576.

The previous prime is 10064979553. The next prime is 10064979581. The reversal of 10064979577 is 77597946001.

10064979577 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9770136336 + 294843241 = 98844^2 + 17171^2 .

It is a cyclic number.

It is not a de Polignac number, because 10064979577 - 211 = 10064977529 is a prime.

It is not a weakly prime, because it can be changed into another prime (10064979277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5032489788 + 5032489789.

It is an arithmetic number, because the mean of its divisors is an integer number (5032489789).

Almost surely, 210064979577 is an apocalyptic number.

It is an amenable number.

10064979577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10064979577 is an equidigital number, since it uses as much as digits as its factorization.

10064979577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3333960, while the sum is 55.

The spelling of 10064979577 in words is "ten billion, sixty-four million, nine hundred seventy-nine thousand, five hundred seventy-seven".