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474663606366474 = 2327229311291626881
BaseRepresentation
bin110101111101101000011101…
…1101001010011000100001010
32022020122101201212000211212200
41223323100323221103010022
5444203342031212211344
64401305241144021030
7201660212441433300
oct15373207351230412
92266571655024780
10474663606366474
111282737833804a8
12452a0ba1461776
13174b1780636705
14852dbac0b2270
1539d2152abd069
hex1afb43ba5310a

474663606366474 has 144 divisors (see below), whose sum is σ = 1201493126662920. Its totient is φ = 135035517173760.

The previous prime is 474663606366377. The next prime is 474663606366479.

474663606366474 is a `hidden beast` number, since 4 + 7 + 4 + 6 + 6 + 3 + 606 + 3 + 6 + 6 + 4 + 7 + 4 = 666.

474663606366474 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 439442882929449 + 35220723437025 = 20962893^2 + 5934705^2 .

It is not an unprimeable number, because it can be changed into a prime (474663606366479) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 290949514 + ... + 292576394.

Almost surely, 2474663606366474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474663606366474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600746563331460).

474663606366474 is an abundant number, since it is smaller than the sum of its proper divisors (726829520296446).

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

474663606366474 is a wasteful number, since it uses less digits than its factorization.

474663606366474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628325 (or 1628315 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 72.

The spelling of 474663606366474 in words is "four hundred seventy-four trillion, six hundred sixty-three billion, six hundred six million, three hundred sixty-six thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 293 294 441 586 879 882 1129 1758 2051 2258 2637 3387 4102 5274 6153 6774 7903 10161 12306 14357 15806 18459 20322 23709 28714 36918 43071 47418 55321 71127 86142 110642 129213 142254 165963 258426 330797 331926 497889 661594 992391 995778 1626881 1984782 2315579 2977173 3253762 4631158 4880643 5954346 6946737 9761286 11388167 13893474 14641929 16209053 20840211 22776334 29283858 32418106 34164501 41680422 48627159 68329002 79717169 97254318 102493503 145881477 159434338 204987006 239151507 291762954 476676133 478303014 717454521 953352266 1430028399 1434909042 1836748649 2860056798 3336732931 3673497298 4290085197 5510245947 6673465862 8580170394 10010198793 11020491894 12857240543 16530737841 20020397586 23357130517 25714481086 30030596379 33061475682 38571721629 46714261034 60061192758 70071391551 77143443258 90000683801 115715164887 140142783102 180001367602 210214174653 231430329774 270002051403 420428349306 538167354157 540004102806 810006154209 1076334708314 1614502062471 1620012308418 3229004124942 3767171479099 4843506187413 7534342958198 9687012374826 11301514437297 22603028874594 26370200353693 33904543311891 52740400707386 67809086623782 79110601061079 158221202122158 237331803183237 474663606366474