Search a number
-
+
320064600000 = 26355836427
BaseRepresentation
bin1001010100001010101…
…01100011011111000000
31010121010212000022112110
410222011111203133000
520220443014200000
6403011411055320
732060333132415
oct4520525433700
91117125008473
10320064600000
11113814139252
1252044ba1540
1324249a041a2
14116c3c4210c
1584d3e3a850
hex4a855637c0

320064600000 has 336 divisors, whose sum is σ = 1071398676096. Its totient is φ = 84309120000.

The previous prime is 320064599983. The next prime is 320064600059. The reversal of 320064600000 is 6460023.

It is a self number, because there is not a number n which added to its sum of digits gives 320064600000.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 49796787 + ... + 49803213.

It is an arithmetic number, because the mean of its divisors is an integer number (3188686536).

Almost surely, 2320064600000 is an apocalyptic number.

320064600000 is a gapful number since it is divisible by the number (30) 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 320064600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535699338048).

320064600000 is an abundant number, since it is smaller than the sum of its proper divisors (751334076096).

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

320064600000 is an frugal number, since it uses more digits than its factorization.

320064600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6550 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The spelling of 320064600000 in words is "three hundred twenty billion, sixty-four million, six hundred thousand".