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10586064077 is a prime number
BaseRepresentation
bin10011101101111101…
…01000010011001101
31000022202112202220022
421312332220103031
5133140013022302
64510240031525
7523222026401
oct116676502315
930282482808
1010586064077
114542614696
1220753025a5
13cc9246b54
14725d1d101
1541e5768a2
hex276fa84cd

10586064077 has 2 divisors, whose sum is σ = 10586064078. Its totient is φ = 10586064076.

The previous prime is 10586064053. The next prime is 10586064107. The reversal of 10586064077 is 77046068501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9490851241 + 1095212836 = 97421^2 + 33094^2 .

It is an emirp because it is prime and its reverse (77046068501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10586064077 - 222 = 10581869773 is a prime.

It is a super-2 number, since 2×105860640772 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10586064007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5293032038 + 5293032039.

It is an arithmetic number, because the mean of its divisors is an integer number (5293032039).

Almost surely, 210586064077 is an apocalyptic number.

It is an amenable number.

10586064077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10586064077 is an equidigital number, since it uses as much as digits as its factorization.

10586064077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 10586064077 in words is "ten billion, five hundred eighty-six million, sixty-four thousand, seventy-seven".