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217485532933 is a prime number
BaseRepresentation
bin1100101010001100100…
…1011101111100000101
3202210100221101210101021
43022203021131330011
512030402244023213
6243524513431141
721466331346064
oct3124311357405
9683327353337
10217485532933
1184264a05969
123619756b4b1
131767caa0776
14a75246c1db
1559cd5a7d8d
hex32a325df05

217485532933 has 2 divisors, whose sum is σ = 217485532934. Its totient is φ = 217485532932.

The previous prime is 217485532919. The next prime is 217485532937. The reversal of 217485532933 is 339235584712.

217485532933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144983508289 + 72502024644 = 380767^2 + 269262^2 .

It is a cyclic number.

It is not a de Polignac number, because 217485532933 - 221 = 217483435781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217485532937) 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 as a sum of consecutive naturals, namely, 108742766466 + 108742766467.

It is an arithmetic number, because the mean of its divisors is an integer number (108742766467).

Almost surely, 2217485532933 is an apocalyptic number.

It is an amenable number.

217485532933 is a deficient number, since it is larger than the sum of its proper divisors (1).

217485532933 is an equidigital number, since it uses as much as digits as its factorization.

217485532933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5443200, while the sum is 52.

The spelling of 217485532933 in words is "two hundred seventeen billion, four hundred eighty-five million, five hundred thirty-two thousand, nine hundred thirty-three".