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14799216768 = 273727571039
BaseRepresentation
bin11011100100001101…
…00010000010000000
31102012101100002212120
431302012202002000
5220302044414033
610444302324240
71032511160400
oct156206420200
942171302776
1014799216768
116304854666
122a50289680
13151b0793cb
14a056ba800
155b93a31b3
hex3721a2080

14799216768 has 192 divisors, whose sum is σ = 45832924800. Its totient is φ = 4218697728.

The previous prime is 14799216763. The next prime is 14799216769. The reversal of 14799216768 is 86761299741.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (14799216763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14243193 + ... + 14244231.

It is an arithmetic number, because the mean of its divisors is an integer number (238713150).

Almost surely, 214799216768 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 14799216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22916462400).

14799216768 is an abundant number, since it is smaller than the sum of its proper divisors (31033708032).

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

14799216768 is a wasteful number, since it uses less digits than its factorization.

14799216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1808 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 60.

The spelling of 14799216768 in words is "fourteen billion, seven hundred ninety-nine million, two hundred sixteen thousand, seven hundred sixty-eight".