Search a number
-
+
5894982696960 = 2153457233189
BaseRepresentation
bin101010111001000100001…
…0110011000000000000000
3202212112222110221210210000
41111302020112120000000
51233040411032300320
620312041225440000
71145620111111050
oct125621026300000
922775873853700
105894982696960
111973059061315
127b25a1940000
13339b82243ab6
14165466685560
15a351e529c90
hex55c88598000

5894982696960 has 2560 divisors, whose sum is σ = 26308957593600. Its totient is φ = 1233251205120.

The previous prime is 5894982696959. The next prime is 5894982696989. The reversal of 5894982696960 is 696962894985.

5894982696960 is a `hidden beast` number, since 5 + 8 + 9 + 498 + 2 + 6 + 9 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 5894982696960.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 66235760596 + ... + 66235760684.

It is an arithmetic number, because the mean of its divisors is an integer number (10276936560).

Almost surely, 25894982696960 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 5894982696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154478796800).

5894982696960 is an abundant number, since it is smaller than the sum of its proper divisors (20413974896640).

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

5894982696960 is an equidigital number, since it uses as much as digits as its factorization.

5894982696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3627970560, while the sum is 81.

The spelling of 5894982696960 in words is "five trillion, eight hundred ninety-four billion, nine hundred eighty-two million, six hundred ninety-six thousand, nine hundred sixty".