Search a number
-
+
5636706336768 = 2163135933719
BaseRepresentation
bin101001000000110010111…
…1000010000000000000000
3201221212022202102021211210
41102001211320100000000
51214322433310234033
615553244523010120
71121144560220223
oct122014570200000
921855282367753
105636706336768
111883571862171
12770521669940
1331b701600070
14156b649cb5ba
159b954d25d63
hex52065e10000

5636706336768 has 272 divisors, whose sum is σ = 16218998167680. Its totient is φ = 1730980872192.

The previous prime is 5636706336733. The next prime is 5636706336769. The reversal of 5636706336768 is 8676336076365.

It is a junction number, because it is equal to n+sod(n) for n = 5636706336699 and 5636706336708.

It is not an unprimeable number, because it can be changed into a prime (5636706336769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1515649213 + ... + 1515652931.

Almost surely, 25636706336768 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 5636706336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109499083840).

5636706336768 is an abundant number, since it is smaller than the sum of its proper divisors (10582291830912).

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

5636706336768 is an equidigital number, since it uses as much as digits as its factorization.

5636706336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 66.

The spelling of 5636706336768 in words is "five trillion, six hundred thirty-six billion, seven hundred six million, three hundred thirty-six thousand, seven hundred sixty-eight".