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14093753984 = 271731320693
BaseRepresentation
bin11010010000000110…
…11001111010000000
31100101012212212212022
431020003121322000
5212331000111414
610250302021012
71006153634522
oct151003317200
940335785768
1014093753984
115a82613a72
122893b77768
131437b766cb
14979b1da12
155774a218e
hex3480d9e80

14093753984 has 64 divisors (see below), whose sum is σ = 29825434440. Its totient is φ = 6610845696.

The previous prime is 14093753983. The next prime is 14093754061. The reversal of 14093753984 is 48935739041.

It can be written as a sum of positive squares in 4 ways, for example, as 12292600384 + 1801153600 = 110872^2 + 42440^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14093753983) 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 7 ways as a sum of consecutive naturals, for example, 670742 + ... + 691434.

Almost surely, 214093753984 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 14093753984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14912717220).

14093753984 is an abundant number, since it is smaller than the sum of its proper divisors (15731680456).

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

14093753984 is a wasteful number, since it uses less digits than its factorization.

14093753984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21037 (or 21025 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 14093753984 in words is "fourteen billion, ninety-three million, seven hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 313 544 626 1088 1252 2176 2504 5008 5321 10016 10642 20032 20693 21284 40064 41386 42568 82772 85136 165544 170272 331088 340544 351781 662176 681088 703562 1324352 1407124 2648704 2814248 5628496 6476909 11256992 12953818 22513984 25907636 45027968 51815272 103630544 110107453 207261088 220214906 414522176 440429812 829044352 880859624 1761719248 3523438496 7046876992 14093753984