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5653013040 = 2432514335479
BaseRepresentation
bin1010100001111001…
…00010001000110000
3112120222010211001100
411100330202020300
543034132404130
62332535404400
7260041550403
oct52074421060
915528124040
105653013040
112440a84404
121119223700
136c122913c
143b8ac7d3a
15231446c60
hex150f22230

5653013040 has 120 divisors (see below), whose sum is σ = 19001417760. Its totient is φ = 1506143232.

The previous prime is 5653013027. The next prime is 5653013131. The reversal of 5653013040 is 403103565.

5653013040 is a `hidden beast` number, since 5 + 653 + 0 + 1 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 5653012995 and 5653013013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029021 + ... + 1034499.

It is an arithmetic number, because the mean of its divisors is an integer number (158345148).

Almost surely, 25653013040 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 5653013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9500708880).

5653013040 is an abundant number, since it is smaller than the sum of its proper divisors (13348404720).

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

5653013040 is a wasteful number, since it uses less digits than its factorization.

5653013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5653013040 is about 75186.5216644579. The cubic root of 5653013040 is about 1781.3940432360.

The spelling of 5653013040 in words is "five billion, six hundred fifty-three million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1433 2866 4299 5479 5732 7165 8598 10958 11464 12897 14330 16437 17196 21495 21916 22928 25794 27395 28660 32874 34392 42990 43832 49311 51588 54790 57320 64485 65748 68784 82185 85980 87664 98622 103176 109580 114640 128970 131496 164370 171960 197244 206352 219160 246555 257940 262992 328740 343920 394488 438320 493110 515880 657480 788976 986220 1031760 1314960 1972440 3944880 7851407 15702814 23554221 31405628 39257035 47108442 62811256 70662663 78514070 94216884 117771105 125622512 141325326 157028140 188433768 235542210 282650652 314056280 353313315 376867536 471084420 565301304 628112560 706626630 942168840 1130602608 1413253260 1884337680 2826506520 5653013040