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82187974289 is a prime number
BaseRepresentation
bin100110010001011001…
…0001111011010010001
321212010211011200110202
41030202302033122101
52321310110134124
6101431233304545
75636460153251
oct1144262173221
9255124150422
1082187974289
1131945a725a3
1213b18705155
13799a515865
143d995a5961
1522106125ae
hex1322c8f691

82187974289 has 2 divisors, whose sum is σ = 82187974290. Its totient is φ = 82187974288.

The previous prime is 82187974243. The next prime is 82187974333. The reversal of 82187974289 is 98247978128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79853151889 + 2334822400 = 282583^2 + 48320^2 .

It is a cyclic number.

It is not a de Polignac number, because 82187974289 - 220 = 82186925713 is a prime.

It is not a weakly prime, because it can be changed into another prime (82187974889) 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 as a sum of consecutive naturals, namely, 41093987144 + 41093987145.

It is an arithmetic number, because the mean of its divisors is an integer number (41093987145).

Almost surely, 282187974289 is an apocalyptic number.

It is an amenable number.

82187974289 is a deficient number, since it is larger than the sum of its proper divisors (1).

82187974289 is an equidigital number, since it uses as much as digits as its factorization.

82187974289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32514048, while the sum is 65.

The spelling of 82187974289 in words is "eighty-two billion, one hundred eighty-seven million, nine hundred seventy-four thousand, two hundred eighty-nine".