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41835328681 is a prime number
BaseRepresentation
bin100110111101100101…
…000111010010101001
310222222120112220010211
4212331211013102221
51141134321004211
631115140141121
73010501266166
oct467545072251
9128876486124
1041835328681
1116818a52703
1281366977a1
133c39391b73
14204c23d06d
15114cbbce21
hex9bd9474a9

41835328681 has 2 divisors, whose sum is σ = 41835328682. Its totient is φ = 41835328680.

The previous prime is 41835328669. The next prime is 41835328739. The reversal of 41835328681 is 18682353814.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35796640000 + 6038688681 = 189200^2 + 77709^2 .

It is a cyclic number.

It is not a de Polignac number, because 41835328681 - 213 = 41835320489 is a prime.

It is a super-2 number, since 2×418353286812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41835328621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20917664340 + 20917664341.

It is an arithmetic number, because the mean of its divisors is an integer number (20917664341).

Almost surely, 241835328681 is an apocalyptic number.

It is an amenable number.

41835328681 is a deficient number, since it is larger than the sum of its proper divisors (1).

41835328681 is an equidigital number, since it uses as much as digits as its factorization.

41835328681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1105920, while the sum is 49.

The spelling of 41835328681 in words is "forty-one billion, eight hundred thirty-five million, three hundred twenty-eight thousand, six hundred eighty-one".