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13726726347 = 31722321732
BaseRepresentation
bin11001100100010110…
…10011100011001011
31022102122020221121010
430302023103203023
5211103020220342
610150031215003
7664106151225
oct146213234313
938378227533
1013726726347
115904419744
1227b1077463
1313a9b0aca9
1494309d415
1555515329c
hex3322d38cb

13726726347 has 54 divisors (see below), whose sum is σ = 20442465652. Its totient is φ = 8190755584.

The previous prime is 13726726337. The next prime is 13726726367. The reversal of 13726726347 is 74362762731.

It is a happy number.

13726726347 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 13726726347 - 210 = 13726725323 is a prime.

It is a Duffinian number.

Its product of digits (1778112) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 13726726296 and 13726726305.

It is not an unprimeable number, because it can be changed into a prime (13726726337) 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 53 ways as a sum of consecutive naturals, for example, 79345153 + ... + 79345325.

Almost surely, 213726726347 is an apocalyptic number.

13726726347 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13726726347 is a deficient number, since it is larger than the sum of its proper divisors (6715739305).

13726726347 is an equidigital number, since it uses as much as digits as its factorization.

13726726347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 216 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 48.

Multiplying 13726726347 by its sum of digits (48), we get a square (658882864656 = 8117162).

The spelling of 13726726347 in words is "thirteen billion, seven hundred twenty-six million, seven hundred twenty-six thousand, three hundred forty-seven".

Divisors: 1 3 17 23 51 69 173 289 391 519 529 867 1173 1587 2941 3979 6647 8823 8993 11937 19941 26979 29929 49997 67643 89787 91517 149991 152881 202929 274551 458643 508793 688367 1149931 1526379 1555789 2065101 3449793 4667367 8649481 11702239 15832441 25948443 26448413 35106717 47497323 79345239 198938063 269151497 596814189 807454491 4575575449 13726726347