Search a number
-
+
320494239648 = 2535118814253
BaseRepresentation
bin1001010100111101111…
…00011111111110100000
31010122020210110021100000
410222132330133332200
520222333011132043
6403122155500000
732104101042222
oct4523674377640
91118223407300
10320494239648
11113a14708940
1252144a57600
13242b7a2272b
1411724d20412
15850ba062d3
hex4a9ef1ffa0

320494239648 has 288 divisors, whose sum is σ = 1032498073152. Its totient is φ = 96986419200.

The previous prime is 320494239643. The next prime is 320494239707. The reversal of 320494239648 is 846932494023.

320494239648 is a `hidden beast` number, since 3 + 2 + 0 + 494 + 23 + 96 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 320494239594 and 320494239603.

It is not an unprimeable number, because it can be changed into a prime (320494239641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75355090 + ... + 75359342.

It is an arithmetic number, because the mean of its divisors is an integer number (3585062754).

Almost surely, 2320494239648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320494239648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516249036576).

320494239648 is an abundant number, since it is smaller than the sum of its proper divisors (712003833504).

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

320494239648 is a wasteful number, since it uses less digits than its factorization.

320494239648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 320494239648 in words is "three hundred twenty billion, four hundred ninety-four million, two hundred thirty-nine thousand, six hundred forty-eight".