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5768570304 = 263371074457
BaseRepresentation
bin1010101111101010…
…10110010111000000
3112220000120201211000
411113311112113000
543303223222204
62352224252000
7262644016140
oct52765262700
915800521730
105768570304
1124a0231282
12114ba71000
1370c158b13
143ca1a8920
1523b671039
hex157d565c0

5768570304 has 224 divisors, whose sum is σ = 19566696960. Its totient is φ = 1632393216.

The previous prime is 5768570261. The next prime is 5768570321. The reversal of 5768570304 is 4030758675.

5768570304 is a `hidden beast` number, since 5 + 76 + 8 + 570 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 5768570304.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1292044 + ... + 1296500.

Almost surely, 25768570304 is an apocalyptic number.

5768570304 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 5768570304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9783348480).

5768570304 is an abundant number, since it is smaller than the sum of its proper divisors (13798126656).

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

5768570304 is a wasteful number, since it uses less digits than its factorization.

5768570304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5768570304 is about 75951.1046924270. The cubic root of 5768570304 is about 1793.4505089970.

The spelling of 5768570304 in words is "five billion, seven hundred sixty-eight million, five hundred seventy thousand, three hundred four".