Search a number
-
+
13817114838 = 2331032484199
BaseRepresentation
bin11001101111001000…
…00111000011010110
31022122221100011022000
430313210013003112
5211244140133323
610203020420130
7666254352432
oct146744070326
938587304260
1013817114838
11595044597a
1228173a7646
1313c27679c7
149510ab9c2
1555d059e43
hex3379070d6

13817114838 has 32 divisors (see below), whose sum is σ = 31002816000. Its totient is φ = 4560987528.

The previous prime is 13817114827. The next prime is 13817114867. The reversal of 13817114838 is 83841171831.

13817114838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13817114793 and 13817114802.

It is a congruent number.

It is an unprimeable number.

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, 1236538 + ... + 1247661.

It is an arithmetic number, because the mean of its divisors is an integer number (968838000).

Almost surely, 213817114838 is an apocalyptic number.

13817114838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13817114838 is an abundant number, since it is smaller than the sum of its proper divisors (17185701162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13817114838 is a wasteful number, since it uses less digits than its factorization.

13817114838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484313 (or 2484307 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 13817114838 in words is "thirteen billion, eight hundred seventeen million, one hundred fourteen thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1854 2781 5562 2484199 4968398 7452597 14905194 22357791 44715582 67073373 134146746 255872497 511744994 767617491 1535234982 2302852473 4605704946 6908557419 13817114838