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6680806800672 = 253712939333503
BaseRepresentation
bin110000100110111111100…
…0111011011110100100000
3212122200022220122101211210
41201031333013123310200
51333424243020110142
622113041551310120
71256446422560304
oct141157707336440
925580286571753
106680806800672
1121463502a8344
128ba95081b340
13395cc7316554
141914d2027d04
15b8bb304149c
hex6137f1dbd20

6680806800672 has 96 divisors (see below), whose sum is σ = 17790223933440. Its totient is φ = 2194816682240.

The previous prime is 6680806800637. The next prime is 6680806800673. The reversal of 6680806800672 is 2760086080866.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6680806800673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19865473 + ... + 20198975.

It is an arithmetic number, because the mean of its divisors is an integer number (185314832640).

Almost surely, 26680806800672 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 6680806800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895111966720).

6680806800672 is an abundant number, since it is smaller than the sum of its proper divisors (11109417132768).

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

6680806800672 is a wasteful number, since it uses less digits than its factorization.

6680806800672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336526 (or 336518 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 6680806800672 in words is "six trillion, six hundred eighty billion, eight hundred six million, eight hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 2939 3408 5878 6816 8817 11756 17634 23512 35268 47024 70536 94048 141072 208669 282144 333503 417338 626007 667006 834676 1000509 1252014 1334012 1669352 2001018 2504028 2668024 3338704 4002036 5008056 5336048 6677408 8004072 10016112 10672096 16008144 20032224 23678713 32016288 47357426 71036139 94714852 142072278 189429704 284144556 378859408 568289112 757718816 980165317 1136578224 1960330634 2273156448 2940495951 3920661268 5880991902 7841322536 11761983804 15682645072 23523967608 31365290144 47047935216 69591737507 94095870432 139183475014 208775212521 278366950028 417550425042 556733900056 835100850084 1113467800112 1670201700168 2226935600224 3340403400336 6680806800672