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5685833216 = 2973753809
BaseRepresentation
bin1010100101110011…
…01110111000000000
3112200020220020212102
411102321232320000
543121033130331
62340111045532
7260620533140
oct52271567000
915606806772
105685833216
112458560718
1211282108a8
136c7c7a96b
143bd1cc920
1523427b4cb
hex152e6ee00

5685833216 has 160 divisors (see below), whose sum is σ = 13602790080. Its totient is φ = 2323316736.

The previous prime is 5685833207. The next prime is 5685833227. The reversal of 5685833216 is 6123385865.

It is a congruent number.

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, 7027820 + ... + 7028628.

It is an arithmetic number, because the mean of its divisors is an integer number (85017438).

Almost surely, 25685833216 is an apocalyptic number.

5685833216 is a gapful number since it is divisible by the number (56) 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 5685833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801395040).

5685833216 is an abundant number, since it is smaller than the sum of its proper divisors (7916956864).

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

5685833216 is an equidigital number, since it uses as much as digits as its factorization.

5685833216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 908 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 47.

The square root of 5685833216 is about 75404.4641649286. The cubic root of 5685833216 is about 1784.8348562913.

The spelling of 5685833216 in words is "five billion, six hundred eighty-five million, eight hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 53 56 64 74 106 112 128 148 212 224 256 259 296 371 424 448 512 518 592 742 809 848 896 1036 1184 1484 1618 1696 1792 1961 2072 2368 2968 3236 3392 3584 3922 4144 4736 5663 5936 6472 6784 7844 8288 9472 11326 11872 12944 13568 13727 15688 16576 18944 22652 23744 25888 27136 27454 29933 31376 33152 42877 45304 47488 51776 54908 59866 62752 66304 85754 90608 94976 103552 109816 119732 125504 132608 171508 181216 189952 207104 209531 219632 239464 251008 300139 343016 362432 414208 419062 439264 478928 502016 600278 686032 724864 838124 878528 957856 1004032 1200556 1372064 1449728 1586449 1676248 1757056 1915712 2401112 2744128 2899456 3172898 3352496 3514112 3831424 4802224 5488256 6345796 6704992 7028224 7662848 9604448 10976512 11105143 12691592 13409984 15325696 19208896 21953024 22210286 25383184 26819968 38417792 44420572 50766368 53639936 76835584 88841144 101532736 107279872 153671168 177682288 203065472 355364576 406130944 710729152 812261888 1421458304 2842916608 5685833216