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206813793764484 = 2232317275612
BaseRepresentation
bin101111000001100010010110…
…101101100100010010000100
31000010021012112212201012002100
4233001202112231210102010
5204101414122200430414
62011504540101112100
761363542414561564
oct5701422655442204
91003235485635070
10206813793764484
115a996267a56955
121b241a950b8630
138b525c324895a
14390dbabac8da4
1518d9a7c2b0609
hexbc1896b64484

206813793764484 has 81 divisors (see below), whose sum is σ = 524503029994671. Its totient is φ = 68711372634240.

The previous prime is 206813793764467. The next prime is 206813793764531. The reversal of 206813793764484 is 484467397318602.

The square root of 206813793764484 is 14381022.

It is a perfect power (a square), and thus also a powerful number.

206813793764484 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 1 + 3 + 79 + 3 + 76 + 4 + 484 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111023100562500 + 95790693201984 = 10536750^2 + 9787272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27352700064 + ... + 27352707624.

Almost surely, 2206813793764484 is an apocalyptic number.

206813793764484 is the 14381022-nd square number.

It is an amenable number.

206813793764484 is an abundant number, since it is smaller than the sum of its proper divisors (317689236230187).

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

206813793764484 is an frugal number, since it uses more digits than its factorization.

206813793764484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15766 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 206813793764484 in words is "two hundred six trillion, eight hundred thirteen billion, seven hundred ninety-three million, seven hundred sixty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2853 3804 5706 7561 11412 15122 22683 30244 45366 68049 90732 100489 136098 200978 272196 301467 401956 602934 904401 1205868 1808802 2396837 3617604 4793674 7190511 9587348 14381022 21571533 28762044 43143066 57168721 86286132 114337442 171506163 228674884 343012326 514518489 686024652 759797329 1029036978 1519594658 2058073956 2279391987 3039189316 4558783974 6838175961 9117567948 13676351922 18122484557 27352703844 36244969114 54367453671 72489938228 108734907342 163102361013 217469814684 326204722026 652409444052 5744827604569 11489655209138 17234482813707 22979310418276 34468965627414 51703448441121 68937931254828 103406896882242 206813793764484