Search a number
-
+
130466568960 = 28325721323773
BaseRepresentation
bin111100110000001101…
…0011101101100000000
3110110202102212101220200
41321200122131230000
54114143420201320
6135534023205200
712266040352500
oct1714032355400
9413672771820
10130466568960
115036aa82312
1221350ba6800
13c3c2753040
14645943ba00
1535d8cc6290
hex1e6069db00

130466568960 has 1296 divisors, whose sum is σ = 590840961984. Its totient is φ = 26296123392.

The previous prime is 130466568923. The next prime is 130466568971. The reversal of 130466568960 is 69865664031.

130466568960 is a `hidden beast` number, since 1 + 30 + 46 + 6 + 568 + 9 + 6 + 0 = 666.

130466568960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130466568897 and 130466568906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168779134 + ... + 168779906.

It is an arithmetic number, because the mean of its divisors is an integer number (455895804).

Almost surely, 2130466568960 is an apocalyptic number.

130466568960 is a gapful number since it is divisible by the number (10) 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 130466568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295420480992).

130466568960 is an abundant number, since it is smaller than the sum of its proper divisors (460374393024).

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

130466568960 is a wasteful number, since it uses less digits than its factorization.

130466568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 130466568960 in words is "one hundred thirty billion, four hundred sixty-six million, five hundred sixty-eight thousand, nine hundred sixty".