Search a number
-
+
464144542680 = 233571371598649
BaseRepresentation
bin1101100000100010010…
…10111010101111011000
31122101001000211202110210
412300101022322233120
530101032000331210
6553120340211120
745350635342350
oct6602112725730
91571030752423
10464144542680
1116992a548745
1275b55099aa0
13349cb927b40
1418671273b60
15c117e23e20
hex6c112babd8

464144542680 has 256 divisors, whose sum is σ = 1737904896000. Its totient is φ = 96549949440.

The previous prime is 464144542649. The next prime is 464144542681. The reversal of 464144542680 is 86245441464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464144542681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 475996 + ... + 1074644.

It is an arithmetic number, because the mean of its divisors is an integer number (6788691000).

Almost surely, 2464144542680 is an apocalyptic number.

464144542680 is a gapful number since it is divisible by the number (40) 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 464144542680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868952448000).

464144542680 is an abundant number, since it is smaller than the sum of its proper divisors (1273760353320).

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

464144542680 is a wasteful number, since it uses less digits than its factorization.

464144542680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598754 (or 598750 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 464144542680 in words is "four hundred sixty-four billion, one hundred forty-four million, five hundred forty-two thousand, six hundred eighty".