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13786064500 = 2253132120933
BaseRepresentation
bin11001101011011011…
…01010011001110100
31022120202220122020111
430311231222121310
5211213213031000
610155551112404
7665426420605
oct146555523164
938522818214
1013786064500
11593496833a
122808b12704
1313b91b5920
1494ad07dac
1555a474cba
hex335b6a674

13786064500 has 48 divisors (see below), whose sum is σ = 32424838992. Its totient is φ = 5090236800.

The previous prime is 13786064483. The next prime is 13786064597. The reversal of 13786064500 is 546068731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9287947876 + 4498116624 = 96374^2 + 67068^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053967 + ... + 1066966.

It is an arithmetic number, because the mean of its divisors is an integer number (675517479).

Almost surely, 213786064500 is an apocalyptic number.

13786064500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13786064500 is an abundant number, since it is smaller than the sum of its proper divisors (18638774492).

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

13786064500 is a wasteful number, since it uses less digits than its factorization.

13786064500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120965 (or 2120953 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 13786064500 in words is "thirteen billion, seven hundred eighty-six million, sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 2120933 4241866 8483732 10604665 21209330 27572129 42418660 53023325 55144258 106046650 110288516 137860645 212093300 265116625 275721290 530233250 551442580 689303225 1060466500 1378606450 2757212900 3446516125 6893032250 13786064500