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131468568660 = 223251113127131307
BaseRepresentation
bin111101001110000100…
…0110010100001010100
3110120100021022021002200
41322130020302201110
54123221423144120
6140221255404500
712332625252432
oct1723410624124
9416307267080
10131468568660
1150834641540
1221590683730
13c522210480
146512549d52
153646c4ee90
hex1e9c232854

131468568660 has 576 divisors, whose sum is σ = 477349576704. Its totient is φ = 28870732800.

The previous prime is 131468568641. The next prime is 131468568661. The reversal of 131468568660 is 66865864131.

131468568660 is a `hidden beast` number, since 1 + 3 + 14 + 6 + 8 + 568 + 6 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131468568597 and 131468568606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131468568661) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 428236227 + ... + 428236533.

It is an arithmetic number, because the mean of its divisors is an integer number (828731904).

Almost surely, 2131468568660 is an apocalyptic number.

131468568660 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 131468568660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238674788352).

131468568660 is an abundant number, since it is smaller than the sum of its proper divisors (345881008044).

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

131468568660 is a wasteful number, since it uses less digits than its factorization.

131468568660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 131468568660 in words is "one hundred thirty-one billion, four hundred sixty-eight million, five hundred sixty-eight thousand, six hundred sixty".