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14053253760 = 27365713331
BaseRepresentation
bin11010001011010001…
…11010001010000000
31100021101200021000000
431011220322022000
5212240113110020
610242254000000
71005152454210
oct150550721200
940241607000
1014053253760
115a61771607
1228824a6000
13142c666290
149745ba240
15573b52090
hex345a3a280

14053253760 has 896 divisors, whose sum is σ = 62182431360. Its totient is φ = 2956124160.

The previous prime is 14053253741. The next prime is 14053253761. The reversal of 14053253760 is 6735235041.

14053253760 is a `hidden beast` number, since 1 + 4 + 0 + 532 + 53 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14053253761) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 42456795 + ... + 42457125.

It is an arithmetic number, because the mean of its divisors is an integer number (69400035).

Almost surely, 214053253760 is an apocalyptic number.

14053253760 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 14053253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31091215680).

14053253760 is an abundant number, since it is smaller than the sum of its proper divisors (48129177600).

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

14053253760 is an equidigital number, since it uses as much as digits as its factorization.

14053253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 14053253760 in words is "fourteen billion, fifty-three million, two hundred fifty-three thousand, seven hundred sixty".