Search a number
-
+
5683893534720 = 215345538081
BaseRepresentation
bin101001010110110001001…
…1101001000000000000000
3202010101010022110022110000
41102231202131020000000
51221111103221102340
620031051124240000
71124435115615012
oct122554235100000
922111108408400
105683893534720
1118a15867a3425
127796b0540000
13322cb16ac77b
1415915d9241b2
159ccb77a2d30
hex52b62748000

5683893534720 has 640 divisors, whose sum is σ = 20764550319480. Its totient is φ = 1486922711040.

The previous prime is 5683893534713. The next prime is 5683893534779. The reversal of 5683893534720 is 274353983865.

It is a happy number.

5683893534720 is a `hidden beast` number, since 5 + 6 + 8 + 3 + 8 + 93 + 534 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4695507615744 + 988385918976 = 2166912^2 + 994176^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 703361080 + ... + 703369160.

Almost surely, 25683893534720 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 5683893534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382275159740).

5683893534720 is an abundant number, since it is smaller than the sum of its proper divisors (15080656784760).

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

5683893534720 is an frugal number, since it uses more digits than its factorization.

5683893534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 5683893534720 in words is "five trillion, six hundred eighty-three billion, eight hundred ninety-three million, five hundred thirty-four thousand, seven hundred twenty".