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5760777132 = 2233119834933
BaseRepresentation
bin1010101110101111…
…00111101110101100
3112212110220210121000
411113113213232230
543244224332012
62351345240300
7262520540415
oct52727475654
915773823530
105760777132
112496899140
121149333090
1370a65a886
143c913a80c
1523ab31ddc
hex1575e7bac

5760777132 has 96 divisors (see below), whose sum is σ = 16312988160. Its totient is φ = 1743560640.

The previous prime is 5760777103. The next prime is 5760777221. The reversal of 5760777132 is 2317770675.

5760777132 is a `hidden beast` number, since 5 + 7 + 607 + 7 + 7 + 1 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165338 + ... + 1170270.

It is an arithmetic number, because the mean of its divisors is an integer number (169926960).

Almost surely, 25760777132 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 5760777132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156494080).

5760777132 is an abundant number, since it is smaller than the sum of its proper divisors (10552211028).

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

5760777132 is a wasteful number, since it uses less digits than its factorization.

5760777132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The square root of 5760777132 is about 75899.7834779520. The cubic root of 5760777132 is about 1792.6425117345.

The spelling of 5760777132 in words is "five billion, seven hundred sixty million, seven hundred seventy-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 983 1188 1966 2949 3932 4933 5898 8847 9866 10813 11796 14799 17694 19732 21626 26541 29598 32439 35388 43252 44397 53082 54263 59196 64878 88794 97317 106164 108526 129756 133191 162789 177588 194634 217052 266382 291951 325578 389268 488367 532764 583902 651156 976734 1167804 1465101 1953468 2930202 4849139 5860404 9698278 14547417 19396556 29094834 43642251 53340529 58189668 87284502 106681058 130926753 160021587 174569004 213362116 261853506 320043174 480064761 523707012 640086348 960129522 1440194283 1920259044 2880388566 5760777132