Search a number
-
+
6469285680 = 243251113193307
BaseRepresentation
bin1100000011001100…
…10111011100110000
3121200212002202121100
412001212113130300
5101222114120210
62545535124400
7316213010124
oct60146273460
917625082540
106469285680
11281a81a0a0
121306673700
137c13889c0
1445528b584
1527ce355c0
hex181997730

6469285680 has 480 divisors, whose sum is σ = 26875779840. Its totient is φ = 1371064320.

The previous prime is 6469285679. The next prime is 6469285687. The reversal of 6469285680 is 865829646.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6469285687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1954587 + ... + 1957893.

It is an arithmetic number, because the mean of its divisors is an integer number (55991208).

Almost surely, 26469285680 is an apocalyptic number.

6469285680 is a gapful number since it is divisible by the number (60) 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 6469285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13437889920).

6469285680 is an abundant number, since it is smaller than the sum of its proper divisors (20406494160).

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

6469285680 is a wasteful number, since it uses less digits than its factorization.

6469285680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3360 counting only the distinct ones).

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

The square root of 6469285680 is about 80431.8698029581. The cubic root of 6469285680 is about 1863.3114094669.

The spelling of 6469285680 in words is "six billion, four hundred sixty-nine million, two hundred eighty-five thousand, six hundred eighty".