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42835102753 is a prime number
BaseRepresentation
bin100111111001001010…
…111100110000100001
311002120020210200100011
4213321022330300201
51200211241242003
631402252524521
73044331236332
oct477112746041
9132506720304
1042835102753
1117191331773
128375480741
134068550261
142104d2c289
1511aa85746d
hex9f92bcc21

42835102753 has 2 divisors, whose sum is σ = 42835102754. Its totient is φ = 42835102752.

The previous prime is 42835102679. The next prime is 42835102771. The reversal of 42835102753 is 35720153824.

42835102753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39990800529 + 2844302224 = 199977^2 + 53332^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42835102753 is a prime.

It is not a weakly prime, because it can be changed into another prime (42835102153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21417551376 + 21417551377.

It is an arithmetic number, because the mean of its divisors is an integer number (21417551377).

Almost surely, 242835102753 is an apocalyptic number.

It is an amenable number.

42835102753 is a deficient number, since it is larger than the sum of its proper divisors (1).

42835102753 is an equidigital number, since it uses as much as digits as its factorization.

42835102753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 42835102753 in words is "forty-two billion, eight hundred thirty-five million, one hundred two thousand, seven hundred fifty-three".