Search a number
-
+
104320723584 = 27371117732843
BaseRepresentation
bin110000100100111111…
…1111110101010000000
3100222021021211211202010
41201021333332222000
53202122101123314
6115531351052520
710352110343160
oct1411177765200
9328237754663
10104320723584
1140273368740
1218274971140
139ab6a0680c
145098c205a0
152aa8714059
hex1849ffea80

104320723584 has 512 divisors, whose sum is σ = 370941327360. Its totient is φ = 25144197120.

The previous prime is 104320723579. The next prime is 104320723603. The reversal of 104320723584 is 485327023401.

It is an unprimeable number.

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, 36692467 + ... + 36695309.

It is an arithmetic number, because the mean of its divisors is an integer number (724494780).

Almost surely, 2104320723584 is an apocalyptic number.

104320723584 is a gapful number since it is divisible by the number (14) 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 104320723584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185470663680).

104320723584 is an abundant number, since it is smaller than the sum of its proper divisors (266620603776).

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

104320723584 is a wasteful number, since it uses less digits than its factorization.

104320723584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 104320723584 its reverse (485327023401), we get a palindrome (589647746985).

The spelling of 104320723584 in words is "one hundred four billion, three hundred twenty million, seven hundred twenty-three thousand, five hundred eighty-four".