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14693280768 = 210315
BaseRepresentation
bin11011010111100100…
…11010110000000000
31101221000000000000000
431223302122300000
5220042434441033
610430000000000
71030053553155
oct155362326000
941830000000
1014693280768
11625aa79351
122a20900000
131502137a9a
149d55c222c
155aee29a13
hex36bc9ac00

14693280768 has 176 divisors, whose sum is σ = 44058317920. Its totient is φ = 4897760256.

The previous prime is 14693280751. The next prime is 14693280793. The reversal of 14693280768 is 86708239641.

It is a perfect power (a 5-th power), and thus also a powerful number.

14693280768 is a `hidden beast` number, since 1 + 469 + 32 + 80 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4897760255 + 4897760256 + 4897760257.

Almost surely, 214693280768 is an apocalyptic number.

14693280768 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 14693280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22029158960).

14693280768 is an abundant number, since it is smaller than the sum of its proper divisors (29365037152).

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

14693280768 is an frugal number, since it uses more digits than its factorization.

14693280768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

14693280768 divided by its sum of digits (54) gives a cube (272097792 = 6483).

The spelling of 14693280768 in words is "fourteen billion, six hundred ninety-three million, two hundred eighty thousand, seven hundred sixty-eight".