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14648314428 = 22341123832153
BaseRepresentation
bin11011010010001101…
…11000101000111100
31101210212101110210000
431221012320220330
5214444432030203
610421312114300
71025666422026
oct155106705074
941725343700
1014648314428
116237656490
122a09835990
1314c5a22897
149cd639016
155aaee64a3
hex3691b8a3c

14648314428 has 240 divisors, whose sum is σ = 44136804096. Its totient is φ = 4192784640.

The previous prime is 14648314399. The next prime is 14648314459. The reversal of 14648314428 is 82441384641.

14648314428 is a `hidden beast` number, since 1 + 4 + 6 + 483 + 144 + 28 = 666.

14648314428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 79 ways as a sum of consecutive naturals, for example, 6802600 + ... + 6804752.

Almost surely, 214648314428 is an apocalyptic number.

14648314428 is a gapful number since it is divisible by the number (18) 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 14648314428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22068402048).

14648314428 is an abundant number, since it is smaller than the sum of its proper divisors (29488489668).

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

14648314428 is a wasteful number, since it uses less digits than its factorization.

14648314428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2275 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 14648314428 in words is "fourteen billion, six hundred forty-eight million, three hundred fourteen thousand, four hundred twenty-eight".