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4012335649 = 7290492
BaseRepresentation
bin1110111100100111…
…0110001000100001
3101100121220202210001
43233021312020201
531204124220044
61502050140001
7201300201400
oct35711661041
911317822701
104012335649
11177994a183
1293b881601
134bc35040a
142a0c45637
151873b02d4
hexef276221

4012335649 has 9 divisors (see below), whose sum is σ = 4667926707. Its totient is φ = 3438764784.

The previous prime is 4012335637. The next prime is 4012335653. The reversal of 4012335649 is 9465332104.

The square root of 4012335649 is 63343.

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

4012335649 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 only one way, i.e., 3334254049 + 678081600 = 57743^2 + 26040^2 .

It is not a de Polignac number, because 4012335649 - 29 = 4012335137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4012335689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 438877 + ... + 447925.

It is an arithmetic number, because the mean of its divisors is an integer number (518658523).

Almost surely, 24012335649 is an apocalyptic number.

4012335649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4012335649 is the 63343-rd square number.

4012335649 is the 31672-nd centered octagonal number.

It is an amenable number.

4012335649 is a deficient number, since it is larger than the sum of its proper divisors (655591058).

4012335649 is an frugal number, since it uses more digits than its factorization.

4012335649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18112 (or 9056 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The cubic root of 4012335649 is about 1589.0311792416.

The spelling of 4012335649 in words is "four billion, twelve million, three hundred thirty-five thousand, six hundred forty-nine".

Divisors: 1 7 49 9049 63343 443401 81884401 573190807 4012335649