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14269686048 = 253270392
BaseRepresentation
bin11010100101000101…
…00010000100100000
31100211110221011021200
431102202202010200
5213211014423143
610315544521200
71013421221142
oct152242420440
940743834250
1014269686048
116062958372
122922a80200
131465454b17
14995238c92
15587b551d3
hex3528a2120

14269686048 has 54 divisors (see below), whose sum is σ = 40585185459. Its totient is φ = 4755886272.

The previous prime is 14269686029. The next prime is 14269686061. The reversal of 14269686048 is 84068696241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14269686048 is a `hidden beast` number, since 1 + 4 + 26 + 9 + 6 + 8 + 604 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7134843024 + 7134843024 = 84468^2 + 84468^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=84468.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14269685985 and 14269686003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2023713 + ... + 2030751.

Almost surely, 214269686048 is an apocalyptic number.

14269686048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14269686048 is an abundant number, since it is smaller than the sum of its proper divisors (26315499411).

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

14269686048 is an frugal number, since it uses more digits than its factorization.

14269686048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14094 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 14269686048 in words is "fourteen billion, two hundred sixty-nine million, six hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7039 14078 21117 28156 42234 56312 63351 84468 112624 126702 168936 225248 253404 337872 506808 675744 1013616 2027232 49547521 99095042 148642563 198190084 297285126 396380168 445927689 594570252 792760336 891855378 1189140504 1585520672 1783710756 2378281008 3567421512 4756562016 7134843024 14269686048