Search a number
-
+
5027256405000 = 2332541719933023
BaseRepresentation
bin100100100100111111111…
…0101010000110000001000
3122210121020010211221222200
41021021333311100300020
51124331310114430000
614405253435520200
71026131046244554
oct111117765206010
918717203757880
105027256405000
1116690581a9005
12692395bb9060
132a60b6c1a96b
1413546b690864
158ab85553500
hex4927fd50c08

5027256405000 has 480 divisors, whose sum is σ = 18105804288000. Its totient is φ = 1255364352000.

The previous prime is 5027256404971. The next prime is 5027256405007. The reversal of 5027256405000 is 5046527205.

5027256405000 is a `hidden beast` number, since 5 + 0 + 2 + 7 + 2 + 5 + 640 + 5 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×50272564050003 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5027256405007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 152218489 + ... + 152251511.

It is an arithmetic number, because the mean of its divisors is an integer number (37720425600).

Almost surely, 25027256405000 is an apocalyptic number.

5027256405000 is a gapful number since it is divisible by the number (50) 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 5027256405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9052902144000).

5027256405000 is an abundant number, since it is smaller than the sum of its proper divisors (13078547883000).

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

5027256405000 is a wasteful number, since it uses less digits than its factorization.

5027256405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33271 (or 33249 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 5027256405000 in words is "five trillion, twenty-seven billion, two hundred fifty-six million, four hundred five thousand".