Search a number
-
+
6804616832 = 2713191371571
BaseRepresentation
bin1100101011001011…
…00011011010000000
3122120020002100110122
412111211203122000
5102413440214312
63043114315412
7330424201016
oct62545433200
918506070418
106804616832
112982035382
12139aa28b68
138459a71c0
14487a1a8b6
1529c5c2b72
hex195963680

6804616832 has 128 divisors (see below), whose sum is σ = 15489230400. Its totient is φ = 2951700480.

The previous prime is 6804616789. The next prime is 6804616853. The reversal of 6804616832 is 2386164086.

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

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, 4330607 + ... + 4332177.

Almost surely, 26804616832 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 6804616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744615200).

6804616832 is an abundant number, since it is smaller than the sum of its proper divisors (8684613568).

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

6804616832 is a wasteful number, since it uses less digits than its factorization.

6804616832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 6804616832 is about 82490.1014182914. The cubic root of 6804616832 is about 1894.9651399523.

The spelling of 6804616832 in words is "six billion, eight hundred four million, six hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 137 152 208 247 274 304 416 494 548 608 832 988 1096 1216 1571 1664 1781 1976 2192 2432 2603 3142 3562 3952 4384 5206 6284 7124 7904 8768 10412 12568 14248 15808 17536 20423 20824 25136 28496 29849 31616 33839 40846 41648 50272 56992 59698 67678 81692 83296 100544 113984 119396 135356 163384 166592 201088 215227 227968 238792 270712 326768 333184 388037 430454 477584 541424 653536 776074 860908 955168 1082848 1307072 1552148 1721816 1910336 2165696 2614144 2797951 3104296 3443632 3820672 4089313 4331392 5595902 6208592 6887264 8178626 11191804 12417184 13774528 16357252 22383608 24834368 27549056 32714504 44767216 49668736 53161069 65429008 89534432 106322138 130858016 179068864 212644276 261716032 358137728 425288552 523432064 850577104 1701154208 3402308416 6804616832