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5972043168 = 253472133617
BaseRepresentation
bin1011000111111011…
…00010010110100000
3120102012110020010000
411203331202112200
544212320340133
62424333340000
7300664346400
oct54375422640
916365406100
105972043168
112595076473
1211a8037600
1374235aa70
14409212800
1524e464413
hex163f625a0

5972043168 has 360 divisors, whose sum is σ = 22008851172. Its totient is φ = 1574608896.

The previous prime is 5972043151. The next prime is 5972043193. The reversal of 5972043168 is 8613402795.

5972043168 is a `hidden beast` number, since 597 + 2 + 0 + 43 + 16 + 8 = 666.

5972043168 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4325955984 + 1646087184 = 65772^2 + 40572^2 .

5972043168 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1649296 + ... + 1652912.

It is a 1-persistent number, because it is pandigital, but 2⋅5972043168 = 11944086336 is not.

Almost surely, 25972043168 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 5972043168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11004425586).

5972043168 is an abundant number, since it is smaller than the sum of its proper divisors (16036808004).

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

5972043168 is a wasteful number, since it uses less digits than its factorization.

5972043168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5972043168 is about 77278.9956456475. The cubic root of 5972043168 is about 1814.2939238397.

The spelling of 5972043168 in words is "five billion, nine hundred seventy-two million, forty-three thousand, one hundred sixty-eight".