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12766408409 = 241277191237
BaseRepresentation
bin10111110001110111…
…11110111011011001
31012221201020202001002
423320323332323121
5202121200032114
65510444234345
7631235452406
oct137073767331
935851222032
1012766408409
115461339657
12258353b9b5
131285b85a21
148917212ad
154eabae7de
hex2f8efeed9

12766408409 has 8 divisors (see below), whose sum is σ = 12865727688. Its totient is φ = 12667472640.

The previous prime is 12766408393. The next prime is 12766408429. The reversal of 12766408409 is 90480466721.

It can be written as a sum of positive squares in 4 ways, for example, as 3703939600 + 9062468809 = 60860^2 + 95197^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12766408409 - 24 = 12766408393 is a prime.

It is a super-2 number, since 2×127664084092 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12766408429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28862 + ... + 162375.

It is an arithmetic number, because the mean of its divisors is an integer number (1608215961).

Almost surely, 212766408409 is an apocalyptic number.

It is an amenable number.

12766408409 is a deficient number, since it is larger than the sum of its proper divisors (99319279).

12766408409 is a wasteful number, since it uses less digits than its factorization.

12766408409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191755.

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 12766408409 in words is "twelve billion, seven hundred sixty-six million, four hundred eight thousand, four hundred nine".

Divisors: 1 241 277 66757 191237 46088117 52972649 12766408409