Search a number
-
+
5578642927872 = 28357611032039
BaseRepresentation
bin101000100101110000100…
…0001111011000100000000
3201202022110012212111200000
41101023201001323010000
51212400030042142442
615510443154400000
71114020654331560
oct121134101730400
921668405774600
105578642927872
111860986552723
12761218290000
133160aa148791
14154017408da0
159a1a760cd4c
hex512e107b100

5578642927872 has 864 divisors, whose sum is σ = 19573453885440. Its totient is φ = 1551786024960.

The previous prime is 5578642927859. The next prime is 5578642927873. The reversal of 5578642927872 is 2787292468755.

5578642927872 is a `hidden beast` number, since 5 + 57 + 86 + 429 + 2 + 7 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×55786429278722 (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5578642927872.

It is not an unprimeable number, because it can be changed into a prime (5578642927873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2735969029 + ... + 2735971067.

Almost surely, 25578642927872 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 5578642927872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9786726942720).

5578642927872 is an abundant number, since it is smaller than the sum of its proper divisors (13994810957568).

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

5578642927872 is a wasteful number, since it uses less digits than its factorization.

5578642927872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2215 counting only the distinct ones).

The product of its digits is 948326400, while the sum is 72.

The spelling of 5578642927872 in words is "five trillion, five hundred seventy-eight billion, six hundred forty-two million, nine hundred twenty-seven thousand, eight hundred seventy-two".