Search a number
-
+
520608000000 = 211356111729
BaseRepresentation
bin1111001001101101010…
…01111010100000000000
31211202210001210120200210
413210312221322200000
532012201122000000
61035055232114120
752420102662114
oct7446651724000
91752701716623
10520608000000
11190874709960
1284a92695940
133a12979270a
141b2aa175744
15d81ee4c350
hex7936a7a800

520608000000 has 1344 divisors, whose sum is σ = 2073067214400. Its totient is φ = 114688000000.

The previous prime is 520607999993. The next prime is 520608000001. The reversal of 520608000000 is 806025.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (520608000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17951999986 + ... + 17952000014.

It is an arithmetic number, because the mean of its divisors is an integer number (1542460725).

Almost surely, 2520608000000 is an apocalyptic number.

520608000000 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 520608000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036533607200).

520608000000 is an abundant number, since it is smaller than the sum of its proper divisors (1552459214400).

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

520608000000 is an equidigital number, since it uses as much as digits as its factorization.

520608000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 520608000000 its reverse (806025), we get a palindrome (520608806025).

The spelling of 520608000000 in words is "five hundred twenty billion, six hundred eight million", and thus it is an aban number.