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13668817296 = 243436622489
BaseRepresentation
bin11001011101011100…
…11001100110010000
31022021121021212022110
430232232121212100
5210443204123141
610140202105320
7662504013201
oct145656314620
938247255273
1013668817296
115884766822
1227957ab240
13139ab13994
149395075a8
15550014e16
hex32eb99990

13668817296 has 40 divisors (see below), whose sum is σ = 36132305440. Its totient is φ = 4450311936.

The previous prime is 13668817277. The next prime is 13668817297. The reversal of 13668817296 is 69271886631.

13668817296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13668817297) 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, 3309181 + ... + 3313308.

It is an arithmetic number, because the mean of its divisors is an integer number (903307636).

Almost surely, 213668817296 is an apocalyptic number.

13668817296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13668817296 is an abundant number, since it is smaller than the sum of its proper divisors (22463488144).

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

13668817296 is a wasteful number, since it uses less digits than its factorization.

13668817296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622543 (or 6622537 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 13668817296 in words is "thirteen billion, six hundred sixty-eight million, eight hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 6622489 13244978 19867467 26489956 39734934 52979912 79469868 105959824 158939736 284767027 317879472 569534054 854301081 1139068108 1708602162 2278136216 3417204324 4556272432 6834408648 13668817296