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2677131081 = 3457492
BaseRepresentation
bin1001111110010001…
…1100011101001001
320220120111100110000
42133210130131021
520440321143311
61121352113213
7123225144612
oct23744343511
96816440400
102677131081
111154197229
12628695809
1333883a541
141b579cc09
1510a069056
hex9f91c749

2677131081 has 15 divisors (see below), whose sum is σ = 3999866871. Its totient is φ = 1784443608.

The previous prime is 2677131073. The next prime is 2677131091. The reversal of 2677131081 is 1801317762.

The square root of 2677131081 is 51741.

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

2677131081 is a `hidden beast` number, since 267 + 7 + 1 + 310 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45441081 + 2631690000 = 6741^2 + 51300^2 .

It is not a de Polignac number, because 2677131081 - 23 = 2677131073 is a prime.

It is a super-2 number, since 2×26771310812 = 14334061649712457122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2677131011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 462795 + ... + 468543.

Almost surely, 22677131081 is an apocalyptic number.

2677131081 is the 51741-st square number.

2677131081 is the 25871-st centered octagonal number.

It is an amenable number.

2677131081 is a deficient number, since it is larger than the sum of its proper divisors (1322735790).

2677131081 is an frugal number, since it uses more digits than its factorization.

2677131081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11510 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The cubic root of 2677131081 is about 1388.5340860932.

Multiplying 2677131081 by its sum of digits (36), we get a square (96376718916 = 3104462).

The spelling of 2677131081 in words is "two billion, six hundred seventy-seven million, one hundred thirty-one thousand, eighty-one".

Divisors: 1 3 9 27 81 5749 17247 51741 155223 465669 33051001 99153003 297459009 892377027 2677131081