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14257323648 = 27334125383
BaseRepresentation
bin11010100011100110…
…10111111010000000
31100210121200002021000
431101303113322000
5213144333324043
610314423532000
71013211152151
oct152163277200
940717602230
1014257323648
116056984307
12291a8ba000
131462a16ba9
1499373b928
15586a122d3
hex351cd7e80

14257323648 has 64 divisors (see below), whose sum is σ = 42078916800. Its totient is φ = 4752440064.

The previous prime is 14257323643. The next prime is 14257323653. The reversal of 14257323648 is 84632375241.

14257323648 is a `hidden beast` number, since 1 + 4 + 2 + 573 + 2 + 36 + 48 = 666.

14257323648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14257323643) and next prime (14257323653).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14257323643) 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, 2059236 + ... + 2066147.

It is an arithmetic number, because the mean of its divisors is an integer number (657483075).

Almost surely, 214257323648 is an apocalyptic number.

14257323648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14257323648 is an abundant number, since it is smaller than the sum of its proper divisors (27821593152).

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

14257323648 is an equidigital number, since it uses as much as digits as its factorization.

14257323648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125406 (or 4125388 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

Adding to 14257323648 its reverse (84632375241), we get a palindrome (98889698889).

The spelling of 14257323648 in words is "fourteen billion, two hundred fifty-seven million, three hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 4125383 8250766 12376149 16501532 24752298 33003064 37128447 49504596 66006128 74256894 99009192 111385341 132012256 148513788 198018384 222770682 264024512 297027576 396036768 445541364 528049024 594055152 792073536 891082728 1188110304 1584147072 1782165456 2376220608 3564330912 4752441216 7128661824 14257323648