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82285094331 = 32112336137503
BaseRepresentation
bin100110010100010010…
…0101110010110111011
321212101120220220010100
41030220210232112323
52322004441004311
6101445023050443
75642046522126
oct1145044562673
9255346826110
1082285094331
11319958772a0
1213b45140a23
1379b468b53b
143da84473bd
152218de8a56
hex132892e5bb

82285094331 has 24 divisors (see below), whose sum is σ = 135298814976. Its totient is φ = 47701502640.

The previous prime is 82285094273. The next prime is 82285094347. The reversal of 82285094331 is 13349058228.

82285094331 is a `hidden beast` number, since 8 + 228 + 5 + 0 + 94 + 331 = 666.

It is not a de Polignac number, because 82285094331 - 218 = 82284832187 is a prime.

It is a super-2 number, since 2×822850943312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82285094351) 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 23 ways as a sum of consecutive naturals, for example, 18066475 + ... + 18071028.

It is an arithmetic number, because the mean of its divisors is an integer number (5637450624).

Almost surely, 282285094331 is an apocalyptic number.

82285094331 is a deficient number, since it is larger than the sum of its proper divisors (53013720645).

82285094331 is a wasteful number, since it uses less digits than its factorization.

82285094331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36137543 (or 36137540 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 82285094331 in words is "eighty-two billion, two hundred eighty-five million, ninety-four thousand, three hundred thirty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 36137503 108412509 325237527 397512533 831162569 1192537599 2493487707 3577612797 7480463121 9142788259 27428364777 82285094331