Search a number
-
+
6709840576816 = 24132343191170773
BaseRepresentation
bin110000110100100000110…
…1010100000000100110000
3212202110021022211001021011
41201221001222200010300
51334413223141424231
622134242550040304
71261525050602056
oct141510152400460
925673238731234
106709840576816
11215769a098063
129044b4049094
13398973469150
14192a87dd81d6
15b9811e0b9b1
hex61a41aa0130

6709840576816 has 160 divisors (see below), whose sum is σ = 15027150200832. Its totient is φ = 2878150302720.

The previous prime is 6709840576787. The next prime is 6709840576849. The reversal of 6709840576816 is 6186750489076.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39205606 + ... + 39376378.

Almost surely, 26709840576816 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 6709840576816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513575100416).

6709840576816 is an abundant number, since it is smaller than the sum of its proper divisors (8317309624016).

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

6709840576816 is a wasteful number, since it uses less digits than its factorization.

6709840576816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171051 (or 171045 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 67.

The spelling of 6709840576816 in words is "six trillion, seven hundred nine billion, eight hundred forty million, five hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 43 46 52 86 92 104 172 184 191 208 299 344 368 382 559 598 688 764 989 1118 1196 1528 1978 2236 2392 2483 3056 3956 4393 4472 4784 4966 7912 8213 8786 8944 9932 12857 15824 16426 17572 19864 25714 32852 35144 39728 51428 57109 65704 70288 102856 106769 114218 131408 170773 188899 205712 213538 228436 341546 377798 427076 456872 683092 755596 854152 913744 1366184 1511192 1708304 2220049 2455687 2732368 3022384 3927779 4440098 4911374 7343239 7855558 8880196 9822748 14686478 15711116 17760392 19645496 29372956 31422232 32617643 35520784 39290992 51061127 58745912 62844464 65235286 95462107 102122254 117491824 130470572 168894497 190924214 204244508 260941144 337788994 381848428 408489016 424029359 521882288 675577988 750205789 763696856 816978032 848058718 1351155976 1402558649 1500411578 1527393712 1696117436 2195628461 2702311952 2805117298 3000823156 3392234872 4391256922 5610234596 6001646312 6784469744 8782513844 9752675257 11220469192 12003292624 17565027688 18233262437 19505350514 22440938384 32258848927 35130055376 36466524874 39010701028 64517697854 72933049748 78021402056 129035395708 145866099496 156042804112 258070791416 291732198992 419365036051 516141582832 838730072102 1677460144204 3354920288408 6709840576816