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83336136309 = 35619975639
BaseRepresentation
bin100110110011100111…
…0001000011001110101
321222002211122100200000
41031213032020121311
52331133022330214
6102141210341513
76010101320346
oct1154716103165
9258084570600
1083336136309
1132385092728
121419912a899
137b2135a17a
144067c800cd
15227b30d809
hex1367388675

83336136309 has 48 divisors (see below), whose sum is σ = 127028952960. Its totient is φ = 54582154560.

The previous prime is 83336136307. The next prime is 83336136313. The reversal of 83336136309 is 90363163338.

It is a happy number.

83336136309 is a `hidden beast` number, since 8 + 3 + 3 + 3 + 6 + 1 + 3 + 630 + 9 = 666.

It is not a de Polignac number, because 83336136309 - 21 = 83336136307 is a prime.

It is a super-2 number, since 2×833361363092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83336136307) 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 in 47 ways as a sum of consecutive naturals, for example, 14775712 + ... + 14781350.

It is an arithmetic number, because the mean of its divisors is an integer number (2646436520).

Almost surely, 283336136309 is an apocalyptic number.

It is an amenable number.

83336136309 is a deficient number, since it is larger than the sum of its proper divisors (43692816651).

83336136309 is an equidigital number, since it uses as much as digits as its factorization.

83336136309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 83336136309 in words is "eighty-three billion, three hundred thirty-six million, one hundred thirty-six thousand, three hundred nine".

Divisors: 1 3 9 27 61 81 183 243 549 997 1647 2991 4941 5639 8973 14823 16917 26919 50751 60817 80757 152253 182451 242271 343979 456759 547353 1031937 1370277 1642059 3095811 4926177 5622083 9287433 14778531 16866249 27862299 50598747 83586897 151796241 342947063 455388723 1028841189 1366166169 3086523567 9259570701 27778712103 83336136309