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41336129729 is a prime number
BaseRepresentation
bin100110011111110100…
…110100100011000001
310221200210012221220202
4212133310310203001
51134124022122404
630553424414545
72662230206516
oct463764644301
9127623187822
1041336129729
1116592193094
128017477455
133b89b2a57b
142001c1530d
15111de6221e
hex99fd348c1

41336129729 has 2 divisors, whose sum is σ = 41336129730. Its totient is φ = 41336129728.

The previous prime is 41336129719. The next prime is 41336129741. The reversal of 41336129729 is 92792163314.

It is a happy number.

41336129729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23970161329 + 17365968400 = 154823^2 + 131780^2 .

It is a cyclic number.

It is not a de Polignac number, because 41336129729 - 224 = 41319352513 is a prime.

It is a super-2 number, since 2×413361297292 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41336129719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20668064864 + 20668064865.

It is an arithmetic number, because the mean of its divisors is an integer number (20668064865).

Almost surely, 241336129729 is an apocalyptic number.

It is an amenable number.

41336129729 is a deficient number, since it is larger than the sum of its proper divisors (1).

41336129729 is an equidigital number, since it uses as much as digits as its factorization.

41336129729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 489888, while the sum is 47.

The spelling of 41336129729 in words is "forty-one billion, three hundred thirty-six million, one hundred twenty-nine thousand, seven hundred twenty-nine".