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14223663168 = 26311131393727
BaseRepresentation
bin11010011111100101…
…11110000001000000
31100201021022221202120
431033302332001000
5213112224210133
610311222244240
71012322066511
oct151762760100
940637287676
1014223663168
116039983730
12290b586680
131458a5ca50
1498d098a08
15583ab3ab3
hex34fcbe040

14223663168 has 224 divisors, whose sum is σ = 44542740480. Its totient is φ = 3948963840.

The previous prime is 14223663163. The next prime is 14223663187. The reversal of 14223663168 is 86136632241.

It is a Cunningham number, because it is equal to 1192632-1.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14223663161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3814521 + ... + 3818247.

It is an arithmetic number, because the mean of its divisors is an integer number (198851520).

Almost surely, 214223663168 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 14223663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22271370240).

14223663168 is an abundant number, since it is smaller than the sum of its proper divisors (30319077312).

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

14223663168 is a wasteful number, since it uses less digits than its factorization.

14223663168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3895 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 14223663168 in words is "fourteen billion, two hundred twenty-three million, six hundred sixty-three thousand, one hundred sixty-eight".