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2727868443876 = 2234917572
BaseRepresentation
bin100111101100100001101…
…000010010110011100100
3100122210002211201212210000
4213230201220102303210
5324143133310201001
65445055423501300
7401040060124062
oct47544150226344
910583084655700
102727868443876
11961978691884
12380819757830
1316a3105aa194
149605b09b032
154ae589b1a86
hex27b21a12ce4

2727868443876 has 45 divisors (see below), whose sum is σ = 7131264669529. Its totient is φ = 909279571536.

The previous prime is 2727868443869. The next prime is 2727868443887. The reversal of 2727868443876 is 6783448687272.

The square root of 2727868443876 is 1651626.

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

2727868443876 is a `hidden beast` number, since 2 + 7 + 27 + 86 + 8 + 443 + 87 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2592132200100 + 135736243776 = 1610010^2 + 368424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29683390 + ... + 29775146.

Almost surely, 22727868443876 is an apocalyptic number.

2727868443876 is the 1651626-th square number.

It is an amenable number.

2727868443876 is an abundant number, since it is smaller than the sum of its proper divisors (4403396225653).

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

2727868443876 is an frugal number, since it uses more digits than its factorization.

2727868443876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183530 (or 91762 counting only the distinct ones).

The product of its digits is 1213857792, while the sum is 72.

The spelling of 2727868443876 in words is "two trillion, seven hundred twenty-seven billion, eight hundred sixty-eight million, four hundred forty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 91757 183514 275271 367028 550542 825813 1101084 1651626 2477439 3303252 4954878 7432317 9909756 14864634 29729268 8419347049 16838694098 25258041147 33677388196 50516082294 75774123441 101032164588 151548246882 227322370323 303096493764 454644740646 681967110969 909289481292 1363934221938 2727868443876