Search a number
-
+
5300384064 = 26329394219
BaseRepresentation
bin1001110111110110…
…10111000101000000
3111200101121102000220
410323323113011000
541323344242224
62233541343040
7245230343523
oct47373270500
914611542026
105300384064
11227aa23aa8
12103b107a80
13666162441
14383d34bba
152104de279
hex13bed7140

5300384064 has 56 divisors (see below), whose sum is σ = 14071945440. Its totient is φ = 1760745984.

The previous prime is 5300383967. The next prime is 5300384069. The reversal of 5300384064 is 4604830035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5300384069) 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 7 ways as a sum of consecutive naturals, for example, 9147 + ... + 103365.

It is an arithmetic number, because the mean of its divisors is an integer number (251284740).

Almost surely, 25300384064 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 5300384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035972720).

5300384064 is an abundant number, since it is smaller than the sum of its proper divisors (8771561376).

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

5300384064 is a wasteful number, since it uses less digits than its factorization.

5300384064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94527 (or 94517 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 5300384064 is about 72803.7366074022. The cubic root of 5300384064 is about 1743.5555147593. Note that the first 4 decimals are identical.

The spelling of 5300384064 in words is "five billion, three hundred million, three hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 293 586 879 1172 1758 2344 3516 4688 7032 9376 14064 18752 28128 56256 94219 188438 282657 376876 565314 753752 1130628 1507504 2261256 3015008 4522512 6030016 9045024 18090048 27606167 55212334 82818501 110424668 165637002 220849336 331274004 441698672 662548008 883397344 1325096016 1766794688 2650192032 5300384064