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29872662041 is a prime number
BaseRepresentation
bin11011110100100011…
…001010011000011001
32212002212200110112102
4123310203022120121
5442134400141131
621420122453145
72105162303105
oct336443123031
985085613472
1029872662041
111173a380152
1259583641b5
132a80b9c1b1
14163557c905
15b9c8741cb
hex6f48ca619

29872662041 has 2 divisors, whose sum is σ = 29872662042. Its totient is φ = 29872662040.

The previous prime is 29872662013. The next prime is 29872662067. The reversal of 29872662041 is 14026627892.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20802004441 + 9070657600 = 144229^2 + 95240^2 .

It is a cyclic number.

It is not a de Polignac number, because 29872662041 - 26 = 29872661977 is a prime.

It is not a weakly prime, because it can be changed into another prime (29872662541) 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, 14936331020 + 14936331021.

It is an arithmetic number, because the mean of its divisors is an integer number (14936331021).

Almost surely, 229872662041 is an apocalyptic number.

It is an amenable number.

29872662041 is a deficient number, since it is larger than the sum of its proper divisors (1).

29872662041 is an equidigital number, since it uses as much as digits as its factorization.

29872662041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 29872662041 in words is "twenty-nine billion, eight hundred seventy-two million, six hundred sixty-two thousand, forty-one".