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82184125212 = 22327180592
BaseRepresentation
bin100110010001010001…
…1100011101100011100
321212010112221010112100
41030202203203230130
52321303114001322
6101431015005100
75636412352410
oct1144243435434
9255115833470
1082184125212
1131943883742
1213b17369790
1379997988b7
143d98c82d40
152210101dac
hex13228e3b1c

82184125212 has 54 divisors (see below), whose sum is σ = 237433953848. Its totient is φ = 23479878384.

The previous prime is 82184125211. The next prime is 82184125213. The reversal of 82184125212 is 21252148128.

It is a happy number.

82184125212 is a `hidden beast` number, since 8 + 21 + 8 + 412 + 5 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (82184125211) and next prime (82184125213).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82184125211) 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 17 ways as a sum of consecutive naturals, for example, 4541839 + ... + 4559897.

Almost surely, 282184125212 is an apocalyptic number.

It is an amenable number.

82184125212 is an abundant number, since it is smaller than the sum of its proper divisors (155249828636).

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

82184125212 is an equidigital number, since it uses as much as digits as its factorization.

82184125212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36135 (or 18071 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The spelling of 82184125212 in words is "eighty-two billion, one hundred eighty-four million, one hundred twenty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 18059 36118 54177 72236 108354 126413 162531 216708 252826 325062 379239 505652 650124 758478 1137717 1516956 2275434 4550868 326127481 652254962 978382443 1304509924 1956764886 2282892367 2935147329 3913529772 4565784734 5870294658 6848677101 9131569468 11740589316 13697354202 20546031303 27394708404 41092062606 82184125212