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13723682080 = 25585773013
BaseRepresentation
bin11001100011111111…
…01100010100100000
31022102102112021122111
430301333230110200
5211101230311310
610145442045104
7664041241633
oct146177542440
938372467574
1013723682080
11590272a519
1227b0049794
1313a92b3454
14942909c1a
15554c5128a
hex331fec520

13723682080 has 24 divisors (see below), whose sum is σ = 32422199292. Its totient is φ = 5489472768.

The previous prime is 13723682039. The next prime is 13723682107. The reversal of 13723682080 is 8028632731.

13723682080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13135910544 + 587771536 = 114612^2 + 24244^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 3 ways as a sum of consecutive naturals, for example, 42886347 + ... + 42886666.

Almost surely, 213723682080 is an apocalyptic number.

13723682080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13723682080 is an abundant number, since it is smaller than the sum of its proper divisors (18698517212).

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

13723682080 is an equidigital number, since it uses as much as digits as its factorization.

13723682080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85773028 (or 85773020 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 13723682080 in words is "thirteen billion, seven hundred twenty-three million, six hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 85773013 171546026 343092052 428865065 686184104 857730130 1372368208 1715460260 2744736416 3430920520 6861841040 13723682080