Search a number
-
+
5527300985856 = 21035134379503
BaseRepresentation
bin101000001101110110011…
…0011111101010000000000
3201120101221002221121200000
41100123230303331100000
51211024403023021411
615431112414400000
71110222446121456
oct120335463752000
921511832847600
105527300985856
11184112a345791
12753289b00000
133112b7377330
1415174679a9d6
1598ba0040956
hex506eccfd400

5527300985856 has 1056 divisors, whose sum is σ = 18506336808960. Its totient is φ = 1636868653056.

The previous prime is 5527300985827. The next prime is 5527300985861. The reversal of 5527300985856 is 6585890037255.

5527300985856 is a `hidden beast` number, since 5 + 527 + 3 + 0 + 0 + 9 + 8 + 58 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5527300985793 and 5527300985802.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10988669701 + ... + 10988670203.

It is an arithmetic number, because the mean of its divisors is an integer number (17524940160).

Almost surely, 25527300985856 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 5527300985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253168404480).

5527300985856 is an abundant number, since it is smaller than the sum of its proper divisors (12979035823104).

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

5527300985856 is a wasteful number, since it uses less digits than its factorization.

5527300985856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

It can be divided in two parts, 5527300 and 985856, that added together give a palindrome (6513156).

The spelling of 5527300985856 in words is "five trillion, five hundred twenty-seven billion, three hundred million, nine hundred eighty-five thousand, eight hundred fifty-six".