Search a number
-
+
5301927803088 = 24327171571970719
BaseRepresentation
bin100110100100111001110…
…0001011111100011010000
3200202212012110112200211200
41031021303201133203100
51143331322004144323
615135401053111200
71055023466512620
oct115116341374320
920685173480750
105301927803088
111764598029854
12717670a88500
132c5c7b40c757
1414488694c880
1592dae281443
hex4d27385f8d0

5301927803088 has 240 divisors, whose sum is σ = 18069642040320. Its totient is φ = 1416646692864.

The previous prime is 5301927803033. The next prime is 5301927803093. The reversal of 5301927803088 is 8803087291035.

5301927803088 is a `hidden beast` number, since 5 + 301 + 9 + 27 + 8 + 0 + 308 + 8 = 666.

It is a super-2 number, since 2×53019278030882 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1704993 + ... + 3675711.

It is an arithmetic number, because the mean of its divisors is an integer number (75290175168).

Almost surely, 25301927803088 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 5301927803088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034821020160).

5301927803088 is an abundant number, since it is smaller than the sum of its proper divisors (12767714237232).

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

5301927803088 is a wasteful number, since it uses less digits than its factorization.

5301927803088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970914 (or 1970905 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 5301927803088 in words is "five trillion, three hundred one billion, nine hundred twenty-seven million, eight hundred three thousand, eighty-eight".