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14249764764 = 22321196933071
BaseRepresentation
bin11010100010101101…
…00010011110011100
31100210002110001102100
431101112202132130
5213140414433024
610313553525100
71013060000454
oct152126423634
940702401370
1014249764764
1160526911a4
122918273790
13146129b491
14992730d64
1558601c7c9
hex3515a279c

14249764764 has 36 divisors (see below), whose sum is σ = 36024337440. Its totient is φ = 4749381120.

The previous prime is 14249764759. The next prime is 14249764843. The reversal of 14249764764 is 46746794241.

It is a happy number.

14249764764 is a `hidden beast` number, since 1 + 424 + 97 + 64 + 76 + 4 = 666.

14249764764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14249764764.

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 11 ways as a sum of consecutive naturals, for example, 414349 + ... + 447419.

It is an arithmetic number, because the mean of its divisors is an integer number (1000676040).

Almost surely, 214249764764 is an apocalyptic number.

It is an amenable number.

14249764764 is an abundant number, since it is smaller than the sum of its proper divisors (21774572676).

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

14249764764 is a wasteful number, since it uses less digits than its factorization.

14249764764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45050 (or 45045 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 14249764764 in words is "fourteen billion, two hundred forty-nine million, seven hundred sixty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11969 23938 33071 35907 47876 66142 71814 99213 107721 132284 143628 198426 215442 297639 396852 430884 595278 1190556 395826799 791653598 1187480397 1583307196 2374960794 3562441191 4749921588 7124882382 14249764764