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13668480336 = 243740680001
BaseRepresentation
bin11001011101011010…
…00111010101010000
31022021120122202002110
430232231013111100
5210443112332321
610140150545320
7662501110620
oct145655072520
938246582073
1013668480336
115884556645
122795668240
13139aa264b4
1493945a880
1554ee9a176
hex32eb47550

13668480336 has 40 divisors (see below), whose sum is σ = 40354561984. Its totient is φ = 3905280000.

The previous prime is 13668480317. The next prime is 13668480337. The reversal of 13668480336 is 63308486631.

It is a happy number.

13668480336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13668480337) 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 7 ways as a sum of consecutive naturals, for example, 20339665 + ... + 20340336.

Almost surely, 213668480336 is an apocalyptic number.

13668480336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13668480336 is an abundant number, since it is smaller than the sum of its proper divisors (26686081648).

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

13668480336 is a wasteful number, since it uses less digits than its factorization.

13668480336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40680019 (or 40680013 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 13668480336 in words is "thirteen billion, six hundred sixty-eight million, four hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 40680001 81360002 122040003 162720004 244080006 284760007 325440008 488160012 569520014 650880016 854280021 976320024 1139040028 1708560042 1952640048 2278080056 3417120084 4556160112 6834240168 13668480336