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14427669888 = 273317376637
BaseRepresentation
bin11010110111111010…
…01100010110000000
31101020111012120101000
431123331030112000
5214021440414023
610343351012000
71020350112342
oct153375142600
941214176330
1014427669888
116134052a25
12296796a000
13148c0ba998
149ac201292
15596960243
hex35bf4c580

14427669888 has 256 divisors, whose sum is σ = 46311998400. Its totient is φ = 4403331072.

The previous prime is 14427669887. The next prime is 14427669899. The reversal of 14427669888 is 88896672441.

14427669888 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 (63) 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 (14427669881) 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 31 ways as a sum of consecutive naturals, for example, 2170506 + ... + 2177142.

Almost surely, 214427669888 is an apocalyptic number.

14427669888 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 14427669888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23155999200).

14427669888 is an abundant number, since it is smaller than the sum of its proper divisors (31884328512).

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

14427669888 is a wasteful number, since it uses less digits than its factorization.

14427669888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6696 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 14427669888 in words is "fourteen billion, four hundred twenty-seven million, six hundred sixty-nine thousand, eight hundred eighty-eight".