Search a number
-
+
13824080717 is a prime number
BaseRepresentation
bin11001101111111101…
…01011101101001101
31022200102110001200112
430313332223231031
5211302431040332
610203430005405
7666400514216
oct146776535515
938612401615
1013824080717
1159543734a7
1228197a6865
1313c4036525
14951da240d
1555d983db2
hex337fabb4d

13824080717 has 2 divisors, whose sum is σ = 13824080718. Its totient is φ = 13824080716.

The previous prime is 13824080681. The next prime is 13824080863. The reversal of 13824080717 is 71708042831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12207156196 + 1616924521 = 110486^2 + 40211^2 .

It is a cyclic number.

It is not a de Polignac number, because 13824080717 - 28 = 13824080461 is a prime.

It is a super-2 number, since 2×138240807172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13824080117) 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, 6912040358 + 6912040359.

It is an arithmetic number, because the mean of its divisors is an integer number (6912040359).

Almost surely, 213824080717 is an apocalyptic number.

It is an amenable number.

13824080717 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824080717 is an equidigital number, since it uses as much as digits as its factorization.

13824080717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 13824080717 in words is "thirteen billion, eight hundred twenty-four million, eighty thousand, seven hundred seventeen".