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84128620806 = 23223203209229
BaseRepresentation
bin100111001011001110…
…1001110000100000110
322001011001211202000200
41032112131032010012
52334243411331211
6102352000151330
76035533322646
oct1162635160406
9261131752020
1084128620806
113275145aa9a
121437a608546
137c195ab2c9
144101210526
1522c5b9db56
hex139674e106

84128620806 has 24 divisors (see below), whose sum is σ = 190203839280. Its totient is φ = 26823618096.

The previous prime is 84128620801. The next prime is 84128620811. The reversal of 84128620806 is 60802682148.

84128620806 is a `hidden beast` number, since 8 + 4 + 12 + 8 + 620 + 8 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (84128620801) and next prime (84128620811).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84128620801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101604201 + ... + 101605028.

It is an arithmetic number, because the mean of its divisors is an integer number (7925159970).

Almost surely, 284128620806 is an apocalyptic number.

84128620806 is an abundant number, since it is smaller than the sum of its proper divisors (106075218474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84128620806 is a wasteful number, since it uses less digits than its factorization.

84128620806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203209260 (or 203209257 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 84128620806 in words is "eighty-four billion, one hundred twenty-eight million, six hundred twenty thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 203209229 406418458 609627687 1219255374 1828883061 3657766122 4673812267 9347624534 14021436801 28042873602 42064310403 84128620806