Search a number
-
+
5389287962256 = 24321124324092
BaseRepresentation
bin100111001101100101010…
…0110000011011010010000
3201002012200202002121010100
41032123022212003122100
51201244230204243011
615243445452332400
71064235402562332
oct116331246033220
921065622077110
105389287962256
111798647613400
12730591774100
1330129134c823
14148bb2dd7452
15952c39acd56
hex4e6ca983690

5389287962256 has 405 divisors, whose sum is σ = 17014416337737. Its totient is φ = 1591237992960.

The previous prime is 5389287962243. The next prime is 5389287962263. The reversal of 5389287962256 is 6522697829835.

The square root of 5389287962256 is 2321484.

It is a perfect power (a square), and thus also a powerful number.

5389287962256 is a `hidden beast` number, since 5 + 3 + 8 + 9 + 287 + 96 + 2 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4925363507856 + 463924454400 = 2219316^2 + 681120^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13176742980 + ... + 13176743388.

Almost surely, 25389287962256 is an apocalyptic number.

5389287962256 is the 2321484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5389287962256

5389287962256 is an abundant number, since it is smaller than the sum of its proper divisors (11625128375481).

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

5389287962256 is a wasteful number, since it uses less digits than its factorization.

5389287962256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 468 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 5389287962256 in words is "five trillion, three hundred eighty-nine billion, two hundred eighty-seven million, nine hundred sixty-two thousand, two hundred fifty-six".