Search a number
-
+
63423442368 = 263311134347127
BaseRepresentation
bin111011000100010101…
…001110110111000000
320001201002101200211000
4323010111032313000
52014342400123433
645045240252000
74403456236146
oct730425166700
9201632350730
1063423442368
1124996974a80
1210360471000
135c99aa0230
1430d9403596
1519b308b113
hexec454edc0

63423442368 has 896 divisors, whose sum is σ = 230715555840. Its totient is φ = 16826019840.

The previous prime is 63423442361. The next prime is 63423442373. The reversal of 63423442368 is 86324432436.

It is a happy number.

63423442368 is a `hidden beast` number, since 634 + 2 + 3 + 4 + 4 + 2 + 3 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63423442361) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 499397121 + ... + 499397247.

It is an arithmetic number, because the mean of its divisors is an integer number (257495040).

Almost surely, 263423442368 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 63423442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115357777920).

63423442368 is an abundant number, since it is smaller than the sum of its proper divisors (167292113472).

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

63423442368 is a wasteful number, since it uses less digits than its factorization.

63423442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 63423442368 in words is "sixty-three billion, four hundred twenty-three million, four hundred forty-two thousand, three hundred sixty-eight".