Search a number
-
+
663404442624 = 21034721121971
BaseRepresentation
bin10011010011101011111…
…11000111010000000000
32100102100210111110120000
421221311333013100000
541332123014130444
61224432551320000
765633531502300
oct11516577072000
92312323443500
10663404442624
11236391570800
12a86a4980000
134a735807691
1424174d3d600
15123cb404469
hex9a75fc7400

663404442624 has 1980 divisors, whose sum is σ = 2703909811680. Its totient is φ = 160944537600.

The previous prime is 663404442619. The next prime is 663404442629. The reversal of 663404442624 is 426244404366.

663404442624 is a `hidden beast` number, since 6 + 6 + 340 + 4 + 44 + 262 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (663404442619) and next prime (663404442629).

It is a self number, because there is not a number n which added to its sum of digits gives 663404442624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663404442629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9343724509 + ... + 9343724579.

It is an arithmetic number, because the mean of its divisors is an integer number (1365611016).

Almost surely, 2663404442624 is an apocalyptic number.

663404442624 is a gapful number since it is divisible by the number (64) 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 663404442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351954905840).

663404442624 is an abundant number, since it is smaller than the sum of its proper divisors (2040505369056).

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

663404442624 is a wasteful number, since it uses less digits than its factorization.

663404442624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 663404442624 in words is "six hundred sixty-three billion, four hundred four million, four hundred forty-two thousand, six hundred twenty-four".