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799538200561 = 41211321932
BaseRepresentation
bin10111010001010000011…
…00001011111111110001
32211102202012011220020201
423220220030023333301
5101044423234404221
61411145222235201
7111523205366662
oct13505014137761
92742665156221
10799538200561
1128909a519a71
1210ab57885b01
135a51c3ab079
142a9aacb5369
1515be79c2891
hexba2830bff1

799538200561 has 27 divisors (see below), whose sum is σ = 831137585187. Its totient is φ = 769128407040.

The previous prime is 799538200519. The next prime is 799538200663. The reversal of 799538200561 is 165002835997.

The square root of 799538200561 is 894169.

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

It can be written as a sum of positive squares in 13 ways, for example, as 466378360561 + 333159840000 = 682919^2 + 577200^2 .

It is not a de Polignac number, because 799538200561 - 227 = 799403982833 is a prime.

It is a super-3 number, since 3×7995382005613 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (799538260561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4142684881 + ... + 4142685073.

Almost surely, 2799538200561 is an apocalyptic number.

799538200561 is the 894169-th square number.

799538200561 is the 447085-th centered octagonal number.

It is an amenable number.

799538200561 is a deficient number, since it is larger than the sum of its proper divisors (31599384626).

799538200561 is an frugal number, since it uses more digits than its factorization.

799538200561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 799538200561 in words is "seven hundred ninety-nine billion, five hundred thirty-eight million, two hundred thousand, five hundred sixty-one".

Divisors: 1 41 113 193 1681 4633 7913 12769 21809 37249 189953 324433 523529 894169 1527209 2464417 4209137 21464689 36660929 62615569 101041097 172574617 475632481 4142684977 7075559297 19500931721 799538200561