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85029836741 is a prime number
BaseRepresentation
bin100111100110000101…
…1000101011111000101
322010110212122020212122
41033030023011133011
52343120114233431
6103021232255325
76100055454443
oct1171413053705
9263425566778
1085029836741
1133074142953
12145903a1545
13803120c285
144188ba5b93
152329d6aa7b
hex13cc2c57c5

85029836741 has 2 divisors, whose sum is σ = 85029836742. Its totient is φ = 85029836740.

The previous prime is 85029836719. The next prime is 85029836777. The reversal of 85029836741 is 14763892058.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50701528900 + 34328307841 = 225170^2 + 185279^2 .

It is a cyclic number.

It is not a de Polignac number, because 85029836741 - 230 = 83956094917 is a prime.

It is a super-2 number, since 2×850298367412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85029836041) 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, 42514918370 + 42514918371.

It is an arithmetic number, because the mean of its divisors is an integer number (42514918371).

It is a 2-persistent number, because it is pandigital, and so is 2⋅85029836741 = 170059673482, but 3⋅85029836741 = 255089510223 is not.

Almost surely, 285029836741 is an apocalyptic number.

It is an amenable number.

85029836741 is a deficient number, since it is larger than the sum of its proper divisors (1).

85029836741 is an equidigital number, since it uses as much as digits as its factorization.

85029836741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 85029836741 in words is "eighty-five billion, twenty-nine million, eight hundred thirty-six thousand, seven hundred forty-one".