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4130564425 = 521319496521
BaseRepresentation
bin1111011000110011…
…0110100101001001
3101122212101102011121
43312030312211021
531424411030200
61521512155241
7204234134611
oct36614664511
911585342147
104130564425
11182a661209
12973398b21
1350a9a7080
142b281da41
15192965e1a
hexf6336949

4130564425 has 24 divisors (see below), whose sum is σ = 5519568600. Its totient is φ = 3048230400.

The previous prime is 4130564419. The next prime is 4130564437. The reversal of 4130564425 is 5244650314.

It can be written as a sum of positive squares in 12 ways, for example, as 383533056 + 3747031369 = 19584^2 + 61213^2 .

It is not a de Polignac number, because 4130564425 - 27 = 4130564297 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 630165 + ... + 636685.

It is an arithmetic number, because the mean of its divisors is an integer number (229982025).

Almost surely, 24130564425 is an apocalyptic number.

It is an amenable number.

4130564425 is a deficient number, since it is larger than the sum of its proper divisors (1389004175).

4130564425 is a wasteful number, since it uses less digits than its factorization.

4130564425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 4130564425 is about 64269.4672842400. The cubic root of 4130564425 is about 1604.4879756978.

The spelling of 4130564425 in words is "four billion, one hundred thirty million, five hundred sixty-four thousand, four hundred twenty-five".

Divisors: 1 5 13 25 65 325 1949 6521 9745 25337 32605 48725 84773 126685 163025 423865 633425 2119325 12709429 63547145 165222577 317735725 826112885 4130564425