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27413747920 = 2451326359373
BaseRepresentation
bin11001100001111111…
…001001100011010000
32121202111210200111001
4121201333021203100
5422120404413140
620332123431344
71660224004216
oct314177114320
977674720431
1027413747920
1110698389619
125390985554
13277b626920
141480b84cb6
15aa6a61e9a
hex661fc98d0

27413747920 has 40 divisors (see below), whose sum is σ = 68639809896. Its totient is φ = 10121998848.

The previous prime is 27413747917. The next prime is 27413747993. The reversal of 27413747920 is 2974731472.

It can be written as a sum of positive squares in 4 ways, for example, as 5256830016 + 22156917904 = 72504^2 + 148852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13178647 + ... + 13180726.

Almost surely, 227413747920 is an apocalyptic number.

27413747920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27413747920 is an abundant number, since it is smaller than the sum of its proper divisors (41226061976).

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

27413747920 is a wasteful number, since it uses less digits than its factorization.

27413747920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26359399 (or 26359393 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 27413747920 in words is "twenty-seven billion, four hundred thirteen million, seven hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 26359373 52718746 105437492 131796865 210874984 263593730 342671849 421749968 527187460 685343698 1054374920 1370687396 1713359245 2108749840 2741374792 3426718490 5482749584 6853436980 13706873960 27413747920