Search a number
-
+
13713660288 = 27353531249
BaseRepresentation
bin11001100010110010…
…11101100110000000
31022101201200010100000
430301121131212000
5211041144112123
610144443200000
7663560121606
oct146131354600
938351603300
1013713660288
1158a8004a49
1227a8816000
1313a71b49b3
1494145b876
15553e21b43
hex33165d980

13713660288 has 192 divisors, whose sum is σ = 41072850000. Its totient is φ = 4554620928.

The previous prime is 13713660287. The next prime is 13713660307. The reversal of 13713660288 is 88206631731.

13713660288 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 36 + 602 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13713660287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10979088 + ... + 10980336.

Almost surely, 213713660288 is an apocalyptic number.

13713660288 is a gapful number since it is divisible by the number (18) 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 13713660288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20536425000).

13713660288 is an abundant number, since it is smaller than the sum of its proper divisors (27359189712).

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

13713660288 is an equidigital number, since it uses as much as digits as its factorization.

13713660288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13713660288 in words is "thirteen billion, seven hundred thirteen million, six hundred sixty thousand, two hundred eighty-eight".