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14584404681 = 3271121045317
BaseRepresentation
bin11011001010100110…
…00101101011001001
31101122102010112002100
431211103011223021
5214332101422211
610411110224013
71024262252160
oct154523055311
941572115070
1014584404681
116204575110
1229b0355009
1314b5707172
149c4d603d7
155a55c0156
hex3654c5ac9

14584404681 has 24 divisors (see below), whose sum is σ = 26264556864. Its totient is φ = 7576313760.

The previous prime is 14584404671. The next prime is 14584404683. The reversal of 14584404681 is 18640448541.

14584404681 is a `hidden beast` number, since 1 + 4 + 584 + 4 + 0 + 4 + 68 + 1 = 666.

14584404681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14584404681 - 25 = 14584404649 is a prime.

It is a super-2 number, since 2×145844046812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14584404683) 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 23 ways as a sum of consecutive naturals, for example, 10521966 + ... + 10523351.

It is an arithmetic number, because the mean of its divisors is an integer number (1094356536).

Almost surely, 214584404681 is an apocalyptic number.

14584404681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14584404681 is a deficient number, since it is larger than the sum of its proper divisors (11680152183).

14584404681 is a wasteful number, since it uses less digits than its factorization.

14584404681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21045341 (or 21045338 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 14584404681 in words is "fourteen billion, five hundred eighty-four million, four hundred four thousand, six hundred eighty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 21045317 63135951 147317219 189407853 231498487 441951657 694495461 1325854971 1620489409 2083486383 4861468227 14584404681