Search a number
-
+
63423150336 = 2834713192961
BaseRepresentation
bin111011000100010100…
…000111100100000000
320001201001211212020000
4323010110013210000
52014342311302321
645045230120000
74403453611560
oct730424074400
9201631755200
1063423150336
1124996795627
1210360350000
135c999ca330
1430d9368da0
1519b302e826
hexec4507900

63423150336 has 1440 divisors, whose sum is σ = 257612678400. Its totient is φ = 15049359360.

The previous prime is 63423150331. The next prime is 63423150347. The reversal of 63423150336 is 63305132436.

63423150336 is a `hidden beast` number, since 6 + 3 + 4 + 2 + 315 + 0 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 63423150336.

It is not an unprimeable number, because it can be changed into a prime (63423150331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1039723746 + ... + 1039723806.

Almost surely, 263423150336 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 63423150336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128806339200).

63423150336 is an abundant number, since it is smaller than the sum of its proper divisors (194189528064).

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

63423150336 is a wasteful number, since it uses less digits than its factorization.

63423150336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 63423150336 in words is "sixty-three billion, four hundred twenty-three million, one hundred fifty thousand, three hundred thirty-six".