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14327499648 = 273731122931
BaseRepresentation
bin11010101011111110…
…00100101110000000
31100222111201101122010
431111333010232000
5213320314442043
610325412012520
71015022511000
oct152577045600
940874641563
1014327499648
116092555600
12293a301140
131474417857
1499cba8000
1558cc75133
hex355fc4b80

14327499648 has 768 divisors, whose sum is σ = 52093440000. Its totient is φ = 3477196800.

The previous prime is 14327499647. The next prime is 14327499653. The reversal of 14327499648 is 84699472341.

14327499648 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 (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14327499647) 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 95 ways as a sum of consecutive naturals, for example, 462177393 + ... + 462177423.

It is an arithmetic number, because the mean of its divisors is an integer number (67830000).

Almost surely, 214327499648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14327499648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26046720000).

14327499648 is an abundant number, since it is smaller than the sum of its proper divisors (37765940352).

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

14327499648 is a wasteful number, since it uses less digits than its factorization.

14327499648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 14327499648 in words is "fourteen billion, three hundred twenty-seven million, four hundred ninety-nine thousand, six hundred forty-eight".