Search a number
-
+
455348062208 = 211132312372
BaseRepresentation
bin1101010000001001101…
…11000000100000000000
31121112022222201020202202
412220010313000200000
524430023100442313
6545103425132332
744616643444604
oct6500467004000
91545288636682
10455348062208
11166126123776
12742bb18a0a8
1333c29394b00
1418078cb9504
15bca0a49558
hex6a04dc0800

455348062208 has 324 divisors, whose sum is σ = 1047004002135. Its totient is φ = 197884477440.

The previous prime is 455348062207. The next prime is 455348062229. The reversal of 455348062208 is 802260843554.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 256959775744 + 198388286464 = 506912^2 + 445408^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=477152.

It is not an unprimeable number, because it can be changed into a prime (455348062207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12306704366 + ... + 12306704402.

Almost surely, 2455348062208 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 455348062208

455348062208 is an abundant number, since it is smaller than the sum of its proper divisors (591655939927).

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

455348062208 is an equidigital number, since it uses as much as digits as its factorization.

455348062208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 47.

The spelling of 455348062208 in words is "four hundred fifty-five billion, three hundred forty-eight million, sixty-two thousand, two hundred eight".