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14664441288 = 23372101331373
BaseRepresentation
bin11011010100001000…
…11001110111001000
31101211222201210200010
431222010121313020
5220013044110123
610423045511520
71026253460100
oct155204316710
941758653603
1014664441288
116245770872
122a131125a0
1314c917b0c3
149d1836200
155ac62e993
hex36a119dc8

14664441288 has 192 divisors, whose sum is σ = 43314765120. Its totient is φ = 4124736000.

The previous prime is 14664441277. The next prime is 14664441289. The reversal of 14664441288 is 88214446641.

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 (14664441289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39314670 + ... + 39315042.

It is an arithmetic number, because the mean of its divisors is an integer number (225597735).

Almost surely, 214664441288 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 14664441288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21657382560).

14664441288 is an abundant number, since it is smaller than the sum of its proper divisors (28650323832).

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

14664441288 is a wasteful number, since it uses less digits than its factorization.

14664441288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 817 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 14664441288 in words is "fourteen billion, six hundred sixty-four million, four hundred forty-one thousand, two hundred eighty-eight".