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40472727641 is a prime number
BaseRepresentation
bin100101101100010111…
…001101000001011001
310212110121120120220122
4211230113031001121
51130342004241031
630332023003025
72631644336333
oct455427150131
9125417516818
1040472727641
1116189888345
127a16299475
133a7cca9068
141d5d2a4453
1510bd26447b
hex96c5cd059

40472727641 has 2 divisors, whose sum is σ = 40472727642. Its totient is φ = 40472727640.

The previous prime is 40472727599. The next prime is 40472727643. The reversal of 40472727641 is 14672727404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35788694041 + 4684033600 = 189179^2 + 68440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40472727641 is a prime.

Together with 40472727643, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 40472727592 and 40472727601.

It is not a weakly prime, because it can be changed into another prime (40472727643) 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 as a sum of consecutive naturals, namely, 20236363820 + 20236363821.

It is an arithmetic number, because the mean of its divisors is an integer number (20236363821).

Almost surely, 240472727641 is an apocalyptic number.

It is an amenable number.

40472727641 is a deficient number, since it is larger than the sum of its proper divisors (1).

40472727641 is an equidigital number, since it uses as much as digits as its factorization.

40472727641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 526848, while the sum is 44.

The spelling of 40472727641 in words is "forty billion, four hundred seventy-two million, seven hundred twenty-seven thousand, six hundred forty-one".