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14643865376 = 257479136481
BaseRepresentation
bin11011010001101011…
…11010011100100000
31101210120000102211022
431220311322130200
5214442312143001
610421032505012
71025613542030
oct155065723440
941716012738
1014643865376
116235097888
122a0824b168
1314c4b257ca
149ccbdb8c0
155aa91811b
hex368d7a720

14643865376 has 48 divisors (see below), whose sum is σ = 33017725440. Its totient is φ = 6262794240.

The previous prime is 14643865373. The next prime is 14643865381. The reversal of 14643865376 is 67356834641.

14643865376 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 (14643865373) 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, 39056 + ... + 175536.

It is an arithmetic number, because the mean of its divisors is an integer number (687869280).

Almost surely, 214643865376 is an apocalyptic number.

14643865376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14643865376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508862720).

14643865376 is an abundant number, since it is smaller than the sum of its proper divisors (18373860064).

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

14643865376 is a wasteful number, since it uses less digits than its factorization.

14643865376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136977 (or 136969 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 53.

The spelling of 14643865376 in words is "fourteen billion, six hundred forty-three million, eight hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 479 958 1916 3353 3832 6706 7664 13412 15328 26824 53648 107296 136481 272962 545924 955367 1091848 1910734 2183696 3821468 4367392 7642936 15285872 30571744 65374399 130748798 261497596 457620793 522995192 915241586 1045990384 1830483172 2091980768 3660966344 7321932688 14643865376