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12763577173 is a prime number
BaseRepresentation
bin10111110001100010…
…01011101101010101
31012221111220220022111
423320301023231111
5202114433432143
65510303431021
7631202421154
oct137061135525
935844826274
1012763577173
11545a785496
1225825b5471
131285404139
148911c559b
154ea80099d
hex2f8c4bb55

12763577173 has 2 divisors, whose sum is σ = 12763577174. Its totient is φ = 12763577172.

The previous prime is 12763577149. The next prime is 12763577209. The reversal of 12763577173 is 37177536721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11448572004 + 1315005169 = 106998^2 + 36263^2 .

It is a cyclic number.

It is not a de Polignac number, because 12763577173 - 213 = 12763568981 is a prime.

It is a super-3 number, since 3×127635771733 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12763577143) 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, 6381788586 + 6381788587.

It is an arithmetic number, because the mean of its divisors is an integer number (6381788587).

Almost surely, 212763577173 is an apocalyptic number.

It is an amenable number.

12763577173 is a deficient number, since it is larger than the sum of its proper divisors (1).

12763577173 is an equidigital number, since it uses as much as digits as its factorization.

12763577173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296540, while the sum is 49.

The spelling of 12763577173 in words is "twelve billion, seven hundred sixty-three million, five hundred seventy-seven thousand, one hundred seventy-three".