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14325921792 = 21134713273
BaseRepresentation
bin11010101011110010…
…00011100000000000
31100222101202020020000
431111321003200000
5213314413444132
610325314120000
71015003216560
oct152571034000
940871666200
1014325921792
116091678096
122939880000
131473cb4600
1499c8b6da0
1558ca6287c
hex355e43800

14325921792 has 720 divisors, whose sum is σ = 53679946320. Its totient is φ = 3726508032.

The previous prime is 14325921773. The next prime is 14325921851. The reversal of 14325921792 is 29712952341.

14325921792 is a `hidden beast` number, since 1 + 43 + 2 + 592 + 17 + 9 + 2 = 666.

Its product of digits (272160) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 196245468 + ... + 196245540.

It is an arithmetic number, because the mean of its divisors is an integer number (74555481).

Almost surely, 214325921792 is an apocalyptic number.

14325921792 is a gapful number since it is divisible by the number (12) 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 14325921792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26839973160).

14325921792 is an abundant number, since it is smaller than the sum of its proper divisors (39354024528).

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

14325921792 is an equidigital number, since it uses as much as digits as its factorization.

14325921792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 98 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 14325921792 in words is "fourteen billion, three hundred twenty-five million, nine hundred twenty-one thousand, seven hundred ninety-two".