Search a number
-
+
13837608343 = 131139419747
BaseRepresentation
bin11001110001100100…
…10010010110010111
31022201100220100002201
430320302102112113
5211314411431333
610205031545331
7666623505316
oct147062222627
938640810081
1013837608343
115960a72a59
12282222b247
1313c6a91940
14953ac427d
1555ec5717d
hex338c92597

13837608343 has 8 divisors (see below), whose sum is σ = 15033917808. Its totient is φ = 12660138624.

The previous prime is 13837608319. The next prime is 13837608347. The reversal of 13837608343 is 34380673831.

13837608343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13837608343 - 25 = 13837608311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13837608293 and 13837608302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13837608347) 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 7 ways as a sum of consecutive naturals, for example, 4708405 + ... + 4711342.

It is an arithmetic number, because the mean of its divisors is an integer number (1879239726).

Almost surely, 213837608343 is an apocalyptic number.

13837608343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13837608343 is a deficient number, since it is larger than the sum of its proper divisors (1196309465).

13837608343 is a wasteful number, since it uses less digits than its factorization.

13837608343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419873.

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 13837608343 in words is "thirteen billion, eight hundred thirty-seven million, six hundred eight thousand, three hundred forty-three".

Divisors: 1 13 113 1469 9419747 122456711 1064431411 13837608343