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6855412838369 is a prime number
BaseRepresentation
bin110001111000010011001…
…1100100110111111100001
3220021101000111201010211212
41203300212130212333201
51344304341141311434
622325155544515505
71305200343445634
oct143604634467741
926241014633755
106855412838369
112203400910837
1292875ba7bb95
133a96025c2b14
14199b376cdc1b
15bd4d1e238ce
hex63c26726fe1

6855412838369 has 2 divisors, whose sum is σ = 6855412838370. Its totient is φ = 6855412838368.

The previous prime is 6855412838333. The next prime is 6855412838371. The reversal of 6855412838369 is 9638382145586.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6819279390625 + 36133447744 = 2611375^2 + 190088^2 .

It is a cyclic number.

It is not a de Polignac number, because 6855412838369 - 212 = 6855412834273 is a prime.

It is a super-2 number, since 2×68554128383692 (a number of 26 digits) contains 22 as substring.

Together with 6855412838371, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 6855412838299 and 6855412838308.

It is not a weakly prime, because it can be changed into another prime (6855412838069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3427706419184 + 3427706419185.

It is an arithmetic number, because the mean of its divisors is an integer number (3427706419185).

Almost surely, 26855412838369 is an apocalyptic number.

It is an amenable number.

6855412838369 is a deficient number, since it is larger than the sum of its proper divisors (1).

6855412838369 is an equidigital number, since it uses as much as digits as its factorization.

6855412838369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 298598400, while the sum is 68.

The spelling of 6855412838369 in words is "six trillion, eight hundred fifty-five billion, four hundred twelve million, eight hundred thirty-eight thousand, three hundred sixty-nine".