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200682525732516 = 223223610412
BaseRepresentation
bin101101101000010100001010…
…101010001010111010100100
3222022120001200021012200201100
4231220110022222022322210
5202300440303041420031
61550452140220400100
760161556032316012
oct5550241252127244
9868501607180640
10200682525732516
1158a41a87aa2173
121a61174b9a6030
1387c93863c0079
14377b12c2718b2
15183032dedade6
hexb6850aa8aea4

200682525732516 has 27 divisors (see below), whose sum is σ = 507281043789793. Its totient is φ = 66894146911680.

The previous prime is 200682525732463. The next prime is 200682525732539. The reversal of 200682525732516 is 615237525286002.

The square root of 200682525732516 is 14166246.

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

200682525732516 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 8 + 2 + 52 + 5 + 73 + 2 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130255519006116 + 70427006726400 = 11412954^2 + 8392080^2 .

It is a super-2 number, since 2×2006825257325162 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83816956 + ... + 86177996.

Almost surely, 2200682525732516 is an apocalyptic number.

200682525732516 is the 14166246-th square number.

It is an amenable number.

200682525732516 is an abundant number, since it is smaller than the sum of its proper divisors (306598518057277).

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

200682525732516 is an frugal number, since it uses more digits than its factorization.

200682525732516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722092 (or 2361046 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 200682525732516 in words is "two hundred trillion, six hundred eighty-two billion, five hundred twenty-five million, seven hundred thirty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2361041 4722082 7083123 9444164 14166246 21249369 28332492 42498738 84997476 5574514603681 11149029207362 16723543811043 22298058414724 33447087622086 50170631433129 66894175244172 100341262866258 200682525732516