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10640178077 is a prime number
BaseRepresentation
bin10011110100011010…
…00011101110011101
31000110112101001100112
421322031003232131
5133242341144302
64515451535405
7524450010224
oct117215035635
930415331315
1010640178077
114570115301
12208b45a565
131007512979
1472d1a7cbb
154241b5552
hex27a343b9d

10640178077 has 2 divisors, whose sum is σ = 10640178078. Its totient is φ = 10640178076.

The previous prime is 10640178071. The next prime is 10640178079. The reversal of 10640178077 is 77087104601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6427389241 + 4212788836 = 80171^2 + 64906^2 .

It is a cyclic number.

It is not a de Polignac number, because 10640178077 - 212 = 10640173981 is a prime.

It is a super-2 number, since 2×106401780772 (a number of 21 digits) contains 22 as substring.

Together with 10640178079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10640178071) 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, 5320089038 + 5320089039.

It is an arithmetic number, because the mean of its divisors is an integer number (5320089039).

Almost surely, 210640178077 is an apocalyptic number.

It is an amenable number.

10640178077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10640178077 is an equidigital number, since it uses as much as digits as its factorization.

10640178077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65856, while the sum is 41.

The spelling of 10640178077 in words is "ten billion, six hundred forty million, one hundred seventy-eight thousand, seventy-seven".