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5768706304 = 284721012
BaseRepresentation
bin1010101111101011…
…10111100100000000
3112220000211122101001
411113311313210000
543303242100204
62352231221344
7262645123504
oct52765674400
915800748331
105768706304
1124a0314479
12114bb17854
1370c1a59aa
143ca202304
1523b69b4a4
hex157d77900

5768706304 has 81 divisors (see below), whose sum is σ = 11882728081. Its totient is φ = 2795033600.

The previous prime is 5768706289. The next prime is 5768706311. The reversal of 5768706304 is 4036078675.

The square root of 5768706304 is 75952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5542504704 + 226201600 = 74448^2 + 15040^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 57115854 + ... + 57115954.

Almost surely, 25768706304 is an apocalyptic number.

5768706304 is the 75952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5768706304

5768706304 is an abundant number, since it is smaller than the sum of its proper divisors (6114021777).

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

5768706304 is an frugal number, since it uses more digits than its factorization.

5768706304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The cubic root of 5768706304 is about 1793.4646030353.

The spelling of 5768706304 in words is "five billion, seven hundred sixty-eight million, seven hundred six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 101 128 188 202 256 376 404 752 808 1504 1616 2209 3008 3232 4418 4747 6016 6464 8836 9494 10201 12032 12928 17672 18988 20402 25856 35344 37976 40804 70688 75952 81608 141376 151904 163216 223109 282752 303808 326432 446218 479447 565504 607616 652864 892436 958894 1215232 1305728 1784872 1917788 2611456 3569744 3835576 7139488 7671152 14278976 15342304 22534009 28557952 30684608 45068018 57115904 61369216 90136036 122738432 180272072 360544144 721088288 1442176576 2884353152 5768706304