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5765309568 = 27333153813
BaseRepresentation
bin1010101111010001…
…11010010010000000
3112212210110001221000
411113220322102000
543301404401233
62352030332000
7262604215464
oct52750722200
915783401830
105765309568
112499404457
12114a95a000
1370b5868a5
143c999a4a4
1523b229d13
hex157a3a480

5765309568 has 128 divisors (see below), whose sum is σ = 17564889600. Its totient is φ = 1859742720.

The previous prime is 5765309521. The next prime is 5765309579. The reversal of 5765309568 is 8659035675.

5765309568 is a `hidden beast` number, since 5 + 76 + 5 + 3 + 0 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80230 + ... + 134042.

It is an arithmetic number, because the mean of its divisors is an integer number (137225700).

Almost surely, 25765309568 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 5765309568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8782444800).

5765309568 is an abundant number, since it is smaller than the sum of its proper divisors (11799580032).

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

5765309568 is a wasteful number, since it uses less digits than its factorization.

5765309568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53867 (or 53849 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 5765309568 is about 75929.6356372135. The cubic root of 5765309568 is about 1793.1125239881.

The spelling of 5765309568 in words is "five billion, seven hundred sixty-five million, three hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 26784 35712 53568 53813 107136 107626 161439 215252 322878 430504 484317 645756 861008 968634 1291512 1452951 1668203 1722016 1937268 2583024 2905902 3336406 3444032 3874536 5004609 5166048 5811804 6672812 6888064 7749072 10009218 10332096 11623608 13345624 15013827 15498144 20018436 20664192 23247216 26691248 30027654 30996288 40036872 45041481 46494432 53382496 60055308 61992576 80073744 90082962 92988864 106764992 120110616 160147488 180165924 185977728 213529984 240221232 320294976 360331848 480442464 640589952 720663696 960884928 1441327392 1921769856 2882654784 5765309568