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13826433438 = 2321745184423
BaseRepresentation
bin11001110000001111…
…01010000110011110
31022200120212121000100
430320013222012132
5211304031332223
610203552241530
7666426513366
oct147007520636
938616777010
1013826433438
1159557300a4
12281a5402a6
1313c467b37c
149524159a6
1555dc9b043
hex3381ea19e

13826433438 has 24 divisors (see below), whose sum is σ = 31719465648. Its totient is φ = 4337704512.

The previous prime is 13826433433. The next prime is 13826433451. The reversal of 13826433438 is 83433462831.

13826433438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13826433393 and 13826433402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13826433431) 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 11 ways as a sum of consecutive naturals, for example, 22591906 + ... + 22592517.

It is an arithmetic number, because the mean of its divisors is an integer number (1321644402).

Almost surely, 213826433438 is an apocalyptic number.

13826433438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13826433438 is an abundant number, since it is smaller than the sum of its proper divisors (17893032210).

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

13826433438 is a wasteful number, since it uses less digits than its factorization.

13826433438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45184448 (or 45184445 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 13826433438 in words is "thirteen billion, eight hundred twenty-six million, four hundred thirty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 45184423 90368846 135553269 271106538 406659807 768135191 813319614 1536270382 2304405573 4608811146 6913216719 13826433438