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20314014336 = 27327112109191
BaseRepresentation
bin10010111010110011…
…110100001010000000
31221102201101211221100
4102322303310022000
5313100341424321
613155423454400
71316254162410
oct227263641200
957381354840
1020314014336
118684805700
123b2b157400
131bb9771535
14da9ca6640
157dd5e7326
hex4bacf4280

20314014336 has 576 divisors, whose sum is σ = 74493619200. Its totient is φ = 5200588800.

The previous prime is 20314014319. The next prime is 20314014341. The reversal of 20314014336 is 63341041302.

20314014336 is a `hidden beast` number, since 2 + 0 + 314 + 0 + 14 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106356001 + ... + 106356191.

It is an arithmetic number, because the mean of its divisors is an integer number (129329200).

Almost surely, 220314014336 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 20314014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37246809600).

20314014336 is an abundant number, since it is smaller than the sum of its proper divisors (54179604864).

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

20314014336 is a wasteful number, since it uses less digits than its factorization.

20314014336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 20314014336 its reverse (63341041302), we get a palindrome (83655055638).

The spelling of 20314014336 in words is "twenty billion, three hundred fourteen million, fourteen thousand, three hundred thirty-six".