Search a number
-
+
5704972992 = 2633232792
BaseRepresentation
bin1010101000000101…
…01111101011000000
3112201120220122201000
411110002233223000
543140433113432
62342033212000
7261242320215
oct52402575300
915646818630
105704972992
112468343714
121132701000
136cbc1c684
143c1971b0c
15235cac57c
hex1540afac0

5704972992 has 252 divisors, whose sum is σ = 17757206040. Its totient is φ = 1795951872.

The previous prime is 5704972979. The next prime is 5704972993. The reversal of 5704972992 is 2992794075.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5704972992 is a `hidden beast` number, since 570 + 49 + 7 + 29 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5704972993) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72214809 + ... + 72214887.

Almost surely, 25704972992 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 5704972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8878603020).

5704972992 is an abundant number, since it is smaller than the sum of its proper divisors (12052233048).

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

5704972992 is an equidigital number, since it uses as much as digits as its factorization.

5704972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 5704972992 is about 75531.2716164636. The cubic root of 5704972992 is about 1786.8353299848.

The spelling of 5704972992 in words is "five billion, seven hundred four million, nine hundred seventy-two thousand, nine hundred ninety-two".