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12766315127 = 29312895147
BaseRepresentation
bin10111110001110111…
…01000001001110111
31012221201002000002012
423320323220021313
5202121134041002
65510442234435
7631234613426
oct137073501167
935851060065
1012766315127
115461285565
1225834b5a1b
131285b52427
148916d92bd
154eab91d52
hex2f8ee8277

12766315127 has 24 divisors (see below), whose sum is σ = 13802302800. Its totient is φ = 11792161920.

The previous prime is 12766315123. The next prime is 12766315141. The reversal of 12766315127 is 72151366721.

It is not a de Polignac number, because 12766315127 - 22 = 12766315123 is a prime.

It is a super-2 number, since 2×127663151272 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12766315123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2477768 + ... + 2482914.

It is an arithmetic number, because the mean of its divisors is an integer number (575095950).

Almost surely, 212766315127 is an apocalyptic number.

12766315127 is a deficient number, since it is larger than the sum of its proper divisors (1035987673).

12766315127 is an equidigital number, since it uses as much as digits as its factorization.

12766315127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327 (or 5296 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The spelling of 12766315127 in words is "twelve billion, seven hundred sixty-six million, three hundred fifteen thousand, one hundred twenty-seven".

Divisors: 1 29 31 89 899 961 2581 2759 5147 27869 80011 85529 149263 159557 458083 2480341 4627153 4946267 13284407 14200573 143441743 411816617 440217763 12766315127