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13829329716320 = 255430932005739
BaseRepresentation
bin1100100100111110010001…
…0010010000010001100000
31210222001220202200020021202
43021033210102100101200
53303034431401410240
645225034550340332
72625064453025426
oct311174422202140
953861822606252
1013829329716320
114451a93105468
12167427265a6a8
1379413c193601
1435b4b3795116
1518eaec800315
hexc93e4490460

13829329716320 has 48 divisors (see below), whose sum is σ = 32672565913680. Its totient is φ = 5531600761344.

The previous prime is 13829329716289. The next prime is 13829329716343. The reversal of 13829329716320 is 2361792392831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5892011 + ... + 7897749.

It is an arithmetic number, because the mean of its divisors is an integer number (680678456535).

Almost surely, 213829329716320 is an apocalyptic number.

13829329716320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13829329716320 is an abundant number, since it is smaller than the sum of its proper divisors (18843236197360).

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

13829329716320 is a wasteful number, since it uses less digits than its factorization.

13829329716320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048847 (or 2048839 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 56.

The spelling of 13829329716320 in words is "thirteen trillion, eight hundred twenty-nine billion, three hundred twenty-nine million, seven hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 43093 86186 172372 215465 344744 430930 689488 861860 1378976 1723720 2005739 3447440 4011478 6894880 8022956 10028695 16045912 20057390 32091824 40114780 64183648 80229560 160459120 320918240 86433310727 172866621454 345733242908 432166553635 691466485816 864333107270 1382932971632 1728666214540 2765865943264 3457332429080 6914664858160 13829329716320