Search a number
-
+
2726005091058 = 232107236372
BaseRepresentation
bin100111101010110010100…
…100001010101011110010
3100122121021222111202020200
4213222302210022223302
5324130324300403213
65444150501420030
7400642642646424
oct47526244125362
910577258452220
102726005091058
11961101897277
1238039970a616
1316a0a4538052
1495d21812814
154ad9a0e2273
hex27ab290aaf2

2726005091058 has 54 divisors (see below), whose sum is σ = 5963699457261. Its totient is φ = 899928630864.

The previous prime is 2726005091041. The next prime is 2726005091077. The reversal of 2726005091058 is 8501905006272.

2726005091058 is a `hidden beast` number, since 2 + 72 + 60 + 0 + 509 + 10 + 5 + 8 = 666.

2726005091058 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1802958764049 + 923046327009 = 1342743^2 + 960753^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1167477.

It is a super-2 number, since 2×27260050910582 (a number of 26 digits) contains 22 as substring.

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, 749518416 + ... + 749522052.

Almost surely, 22726005091058 is an apocalyptic number.

2726005091058 is an abundant number, since it is smaller than the sum of its proper divisors (3237694366203).

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

2726005091058 is an frugal number, since it uses more digits than its factorization.

2726005091058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2726005091058 in words is "two trillion, seven hundred twenty-six billion, five million, ninety-one thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1926 3637 7274 10911 11449 21822 22898 32733 34347 65466 68694 103041 206082 389159 778318 1167477 2334954 3502431 7004862 13227769 26455538 39683307 41640013 79366614 83280026 119049921 124920039 238099842 249840078 374760117 749520234 1415371283 2830742566 4246113849 8492227698 12738341547 25476683094 151444727281 302889454562 454334181843 908668363686 1363002545529 2726005091058