Search a number
-
+
5770808064 = 2834783479
BaseRepresentation
bin1010101111111011…
…11000101100000000
3112220011210102110000
411113331320230000
543304311324224
62352344240000
7263002026210
oct52775705400
915804712400
105770808064
1124a151a56a
121150770000
1370c760538
143ca5cc240
1523b9640c9
hex157f78b00

5770808064 has 360 divisors, whose sum is σ = 19944207360. Its totient is φ = 1625536512.

The previous prime is 5770808059. The next prime is 5770808081. The reversal of 5770808064 is 4608080775.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 12047377 + ... + 12047855.

It is an arithmetic number, because the mean of its divisors is an integer number (55400576).

Almost surely, 25770808064 is an apocalyptic number.

5770808064 is a gapful number since it is divisible by the number (54) 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 5770808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9972103680).

5770808064 is an abundant number, since it is smaller than the sum of its proper divisors (14173399296).

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

5770808064 is an equidigital number, since it uses as much as digits as its factorization.

5770808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 5770808064 is about 75965.8348469889. The cubic root of 5770808064 is about 1793.6823858030.

The spelling of 5770808064 in words is "five billion, seven hundred seventy million, eight hundred eight thousand, sixty-four".