Search a number
-
+
5993246160 = 2433511223997
BaseRepresentation
bin1011001010011100…
…11010110111010000
3120110200100110011000
411211032122313100
544233232334120
62430412022000
7301342515606
oct54516326720
916420313130
105993246160
1125a6038600
1211b3161900
13746872905
1440bd71876
15251251990
hex16539add0

5993246160 has 480 divisors, whose sum is σ = 23700983040. Its totient is φ = 1388344320.

The previous prime is 5993246143. The next prime is 5993246167. The reversal of 5993246160 is 616423995.

5993246160 is a `hidden beast` number, since 5 + 9 + 9 + 3 + 24 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5993246167) 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 95 ways as a sum of consecutive naturals, for example, 6010782 + ... + 6011778.

It is an arithmetic number, because the mean of its divisors is an integer number (49377048).

Almost surely, 25993246160 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 5993246160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850491520).

5993246160 is an abundant number, since it is smaller than the sum of its proper divisors (17707736880).

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

5993246160 is a wasteful number, since it uses less digits than its factorization.

5993246160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5993246160 is about 77416.0587991923. The cubic root of 5993246160 is about 1816.4385289739.

The spelling of 5993246160 in words is "five billion, nine hundred ninety-three million, two hundred forty-six thousand, one hundred sixty".