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2775007141 = 374114912277
BaseRepresentation
bin1010010101100111…
…0011111110100101
321011101122222011021
42211121303332211
521140400212031
61135210011141
7125524112554
oct24531637645
97141588137
102775007141
1111a4467a35
12655416ab1
13352bb937a
141c4799d9b
1511394e511
hexa5673fa5

2775007141 has 16 divisors (see below), whose sum is σ = 2939353200. Its totient is φ = 2616261120.

The previous prime is 2775007099. The next prime is 2775007163. The reversal of 2775007141 is 1417005772.

It can be written as a sum of positive squares in 8 ways, for example, as 680114241 + 2094892900 = 26079^2 + 45770^2 .

It is not a de Polignac number, because 2775007141 - 29 = 2775006629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2775007097 and 2775007106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2775007241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 219895 + ... + 232171.

It is an arithmetic number, because the mean of its divisors is an integer number (183709575).

Almost surely, 22775007141 is an apocalyptic number.

It is an amenable number.

2775007141 is a deficient number, since it is larger than the sum of its proper divisors (164346059).

2775007141 is a wasteful number, since it uses less digits than its factorization.

2775007141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12504.

The product of its (nonzero) digits is 13720, while the sum is 34.

The square root of 2775007141 is about 52678.3365435926. The cubic root of 2775007141 is about 1405.2535842485.

The spelling of 2775007141 in words is "two billion, seven hundred seventy-five million, seven thousand, one hundred forty-one".

Divisors: 1 37 41 149 1517 5513 6109 12277 226033 454249 503357 1829273 18624209 67683101 75000193 2775007141