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14325989760 = 2732517236361
BaseRepresentation
bin11010101011110010…
…10100000110000000
31100222101212200110100
431111321110012000
5213314423133020
610325315402400
71015003621665
oct152571240600
940871780410
1014325989760
116091714165
1229398b3400
131474009524
1499c8d3a6c
1558ca77a90
hex355e54180

14325989760 has 384 divisors, whose sum is σ = 54665357760. Its totient is φ = 3438673920.

The previous prime is 14325989747. The next prime is 14325989761. The reversal of 14325989760 is 6798952341.

14325989760 is a `hidden beast` number, since 1 + 43 + 2 + 598 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14325989697 and 14325989706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14325989761) 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, 2248980 + ... + 2255340.

It is a 1-persistent number, because it is pandigital, but 2⋅14325989760 = 28651979520 is not.

Almost surely, 214325989760 is an apocalyptic number.

14325989760 is a gapful number since it is divisible by the number (10) 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 14325989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27332678880).

14325989760 is an abundant number, since it is smaller than the sum of its proper divisors (40339368000).

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

14325989760 is a wasteful number, since it uses less digits than its factorization.

14325989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 14325989760 in words is "fourteen billion, three hundred twenty-five million, nine hundred eighty-nine thousand, seven hundred sixty".