Search a number
-
+
320491315872 = 25357133712241
BaseRepresentation
bin1001010100111101100…
…01010110001010100000
31010122020120221201200000
410222132301112022200
520222331234101442
6403122013100000
732104034144130
oct4523661261240
91118216851600
10320491315872
11113a12aa11a2
1252143a87600
13242b723a9a0
141172479cac0
15850b629d4c
hex4a9ec562a0

320491315872 has 576 divisors, whose sum is σ = 1194801963264. Its totient is φ = 82233999360.

The previous prime is 320491315853. The next prime is 320491315889. The reversal of 320491315872 is 278513194023.

It is a happy number.

320491315872 is a `hidden beast` number, since 3 + 2 + 0 + 491 + 3 + 158 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26175672 + ... + 26187912.

It is an arithmetic number, because the mean of its divisors is an integer number (2074308964).

Almost surely, 2320491315872 is an apocalyptic number.

320491315872 is a gapful number since it is divisible by the number (32) 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 320491315872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597400981632).

320491315872 is an abundant number, since it is smaller than the sum of its proper divisors (874310647392).

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

320491315872 is a wasteful number, since it uses less digits than its factorization.

320491315872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 32049 and 1315872, that added together give a square (1347921 = 11612).

The spelling of 320491315872 in words is "three hundred twenty billion, four hundred ninety-one million, three hundred fifteen thousand, eight hundred seventy-two".