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13768819 is a prime number
BaseRepresentation
bin110100100001…
…100001110011
3221220112021021
4310201201303
512011100234
61211040311
7225014221
oct64414163
927815237
1013768819
117854799
124740097
132b1113c
141b85b11
15131e9b4
hexd21873

13768819 has 2 divisors, whose sum is σ = 13768820. Its totient is φ = 13768818.

The previous prime is 13768753. The next prime is 13768837. The reversal of 13768819 is 91886731.

It is a strong prime.

It is an emirp because it is prime and its reverse (91886731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13768819 - 211 = 13766771 is a prime.

It is a super-3 number, since 3×137688193 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (13768849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6884409 + 6884410.

It is an arithmetic number, because the mean of its divisors is an integer number (6884410).

Almost surely, 213768819 is an apocalyptic number.

13768819 is a deficient number, since it is larger than the sum of its proper divisors (1).

13768819 is an equidigital number, since it uses as much as digits as its factorization.

13768819 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 43.

The square root of 13768819 is about 3710.6359293253. The cubic root of 13768819 is about 239.6802396707.

The spelling of 13768819 in words is "thirteen million, seven hundred sixty-eight thousand, eight hundred nineteen".