Search a number
-
+
5792348016 = 243373133197
BaseRepresentation
bin1010110010100000…
…00011011101110000
3112221200022202201000
411121100003131300
543330320114031
62354434042000
7263353101000
oct53120033560
915850282630
105792348016
1125026a1884
121157a19300
13714062880
143cd3d8000
1523d7bb3e6
hex159403770

5792348016 has 640 divisors, whose sum is σ = 21776384000. Its totient is φ = 1463132160.

The previous prime is 5792347997. The next prime is 5792348017. The reversal of 5792348016 is 6108432975.

5792348016 is a `hidden beast` number, since 579 + 23 + 48 + 0 + 16 = 666.

5792348016 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5792348016 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5792348017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59714880 + ... + 59714976.

It is an arithmetic number, because the mean of its divisors is an integer number (34025600).

It is a 1-persistent number, because it is pandigital, but 2⋅5792348016 = 11584696032 is not.

Almost surely, 25792348016 is an apocalyptic number.

5792348016 is a gapful number since it is divisible by the number (56) 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 5792348016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10888192000).

5792348016 is an abundant number, since it is smaller than the sum of its proper divisors (15984035984).

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

5792348016 is a wasteful number, since it uses less digits than its factorization.

5792348016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

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

The square root of 5792348016 is about 76107.4767417762. The cubic root of 5792348016 is about 1795.9112973157.

The spelling of 5792348016 in words is "five billion, seven hundred ninety-two million, three hundred forty-eight thousand, sixteen".