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13838350393 = 75038834451
BaseRepresentation
bin11001110001101010…
…00111100000111001
31022201102022001000001
430320311013200321
5211320104203033
610205055513001
7666633015610
oct147065074071
938642261001
1013838350393
11596142a51a
122822528761
1313c6c9161a
14953c38877
1555ed51e7d
hex338d47839

13838350393 has 16 divisors (see below), whose sum is σ = 15868210176. Its totient is φ = 11821798800.

The previous prime is 13838350391. The next prime is 13838350397. The reversal of 13838350393 is 39305383831.

It is a happy number.

13838350393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13838350393 - 21 = 13838350391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13838350391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3106818 + ... + 3111268.

It is an arithmetic number, because the mean of its divisors is an integer number (991763136).

Almost surely, 213838350393 is an apocalyptic number.

It is an amenable number.

13838350393 is a deficient number, since it is larger than the sum of its proper divisors (2029859783).

13838350393 is an equidigital number, since it uses as much as digits as its factorization.

13838350393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844.

The product of its (nonzero) digits is 699840, while the sum is 46.

It can be divided in two parts, 13838 and 350393, that added together give a triangular number (364231 = T853).

The spelling of 13838350393 in words is "thirteen billion, eight hundred thirty-eight million, three hundred fifty thousand, three hundred ninety-three".

Divisors: 1 7 503 883 3521 4451 6181 31157 444149 2238853 3109043 3930233 15671971 27511631 1976907199 13838350393