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5676803584 = 29194143331
BaseRepresentation
bin1010100100101110…
…10010011000000000
3112122121220111112121
411102113102120000
543111230203314
62335145334024
7260451014524
oct52227223000
915577814477
105676803584
112453453611
121125197314
136c613899a
143bbd1bd84
15233595d24
hex1525d2600

5676803584 has 160 divisors (see below), whose sum is σ = 12552946560. Its totient is φ = 2554675200.

The previous prime is 5676803579. The next prime is 5676803593. The reversal of 5676803584 is 4853086765.

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, 17150299 + ... + 17150629.

It is an arithmetic number, because the mean of its divisors is an integer number (78455916).

Almost surely, 25676803584 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 5676803584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276473280).

5676803584 is an abundant number, since it is smaller than the sum of its proper divisors (6876142976).

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

5676803584 is a wasteful number, since it uses less digits than its factorization.

5676803584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The square root of 5676803584 is about 75344.5657230832. The cubic root of 5676803584 is about 1783.8895277702.

The spelling of 5676803584 in words is "five billion, six hundred seventy-six million, eight hundred three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 41 43 64 76 82 86 128 152 164 172 256 304 328 331 344 512 608 656 662 688 779 817 1216 1312 1324 1376 1558 1634 1763 2432 2624 2648 2752 3116 3268 3526 4864 5248 5296 5504 6232 6289 6536 7052 9728 10496 10592 11008 12464 12578 13072 13571 14104 14233 20992 21184 22016 24928 25156 26144 27142 28208 28466 33497 42368 49856 50312 52288 54284 56416 56932 66994 84736 99712 100624 104576 108568 112832 113864 133988 169472 199424 201248 209152 217136 225664 227728 257849 267976 270427 398848 402496 418304 434272 451328 455456 515698 535952 540854 583553 804992 868544 902656 910912 1031396 1071904 1081708 1167106 1609984 1737088 1821824 2062792 2143808 2163416 2334212 3219968 3474176 3643648 4125584 4287616 4326832 4668424 6948352 7287296 8251168 8575232 8653664 9336848 11087507 16502336 17150464 17307328 18673696 22175014 33004672 34614656 37347392 44350028 66009344 69229312 74694784 88700056 132018688 138458624 149389568 177400112 298779136 354800224 709600448 1419200896 2838401792 5676803584