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12840268769 is a prime number
BaseRepresentation
bin10111111010101011…
…01111001111100001
31020010212020020101222
423331111233033201
5202244102100034
65522043304425
7633123324626
oct137525571741
936125206358
1012840268769
115499aa6a79
1225a421b115
131298276693
1489b46a34d
155023ee12e
hex2fd56f3e1

12840268769 has 2 divisors, whose sum is σ = 12840268770. Its totient is φ = 12840268768.

The previous prime is 12840268751. The next prime is 12840268783. The reversal of 12840268769 is 96786204821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11339481169 + 1500787600 = 106487^2 + 38740^2 .

It is a cyclic number.

It is not a de Polignac number, because 12840268769 - 220 = 12839220193 is a prime.

It is a super-2 number, since 2×128402687692 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12840268769.

It is not a weakly prime, because it can be changed into another prime (12840268369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6420134384 + 6420134385.

It is an arithmetic number, because the mean of its divisors is an integer number (6420134385).

Almost surely, 212840268769 is an apocalyptic number.

It is an amenable number.

12840268769 is a deficient number, since it is larger than the sum of its proper divisors (1).

12840268769 is an equidigital number, since it uses as much as digits as its factorization.

12840268769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 12840268769 in words is "twelve billion, eight hundred forty million, two hundred sixty-eight thousand, seven hundred sixty-nine".