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5730777560 = 2353724116067
BaseRepresentation
bin1010101011001010…
…01011100111011000
3112210101110122220202
411111211023213120
543214034340220
62344354241332
7262004543204
oct52545134730
915711418822
105730777560
112480969002
12113b286248
13704385b51
143c516bb04
152381a8275
hex15594b9d8

5730777560 has 64 divisors (see below), whose sum is σ = 13298519520. Its totient is φ = 2220963840.

The previous prime is 5730777517. The next prime is 5730777581. The reversal of 5730777560 is 657770375.

It is a happy number.

It is a super-2 number, since 2×57307775602 = 65683622884399107200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 348647 + ... + 364713.

Almost surely, 25730777560 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 5730777560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649259760).

5730777560 is an abundant number, since it is smaller than the sum of its proper divisors (7567741960).

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

5730777560 is a wasteful number, since it uses less digits than its factorization.

5730777560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16356 (or 16352 counting only the distinct ones).

The product of its (nonzero) digits is 1080450, while the sum is 47.

The square root of 5730777560 is about 75701.8993156711. The cubic root of 5730777560 is about 1789.5253321468.

The spelling of 5730777560 in words is "five billion, seven hundred thirty million, seven hundred seventy-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 241 296 370 482 740 964 1205 1480 1928 2410 4820 8917 9640 16067 17834 32134 35668 44585 64268 71336 80335 89170 128536 160670 178340 321340 356680 594479 642680 1188958 2377916 2972395 3872147 4755832 5944790 7744294 11889580 15488588 19360735 23779160 30977176 38721470 77442940 143269439 154885880 286538878 573077756 716347195 1146155512 1432694390 2865388780 5730777560