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14828004288 = 26338581021
BaseRepresentation
bin11011100111101000…
…10110001111000000
31102021101111122221000
431303310112033000
5220331432114123
610451211332000
71033310646126
oct156364261700
942241448830
1014828004288
11631a0270a9
122a59a51000
131524018546
14a09451916
155bbb8cb43
hex373d163c0

14828004288 has 56 divisors (see below), whose sum is σ = 43591591760. Its totient is φ = 4942667520.

The previous prime is 14828004271. The next prime is 14828004311. The reversal of 14828004288 is 88240082841.

14828004288 is a `hidden beast` number, since 148 + 2 + 80 + 0 + 428 + 8 = 666.

14828004288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×148280042882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4288783 + ... + 4292238.

Almost surely, 214828004288 is an apocalyptic number.

14828004288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14828004288 is an abundant number, since it is smaller than the sum of its proper divisors (28763587472).

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

14828004288 is an equidigital number, since it uses as much as digits as its factorization.

14828004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8581042 (or 8581026 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 14828004288 in words is "fourteen billion, eight hundred twenty-eight million, four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 8581021 17162042 25743063 34324084 51486126 68648168 77229189 102972252 137296336 154458378 205944504 231687567 274592672 308916756 411889008 463375134 549185344 617833512 823778016 926750268 1235667024 1647556032 1853500536 2471334048 3707001072 4942668096 7414002144 14828004288