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217387106825 = 52719531233577
BaseRepresentation
bin1100101001110101001…
…0000000001000001001
3202210010002012020010212
43022131102000020021
512030202044404300
6243511040050505
721464024630360
oct3123522001011
9683102166125
10217387106825
1184214399979
123616a603a35
131766558b475
14a74336a7d7
1559c4b14935
hex329d480209

217387106825 has 48 divisors (see below), whose sum is σ = 330401531520. Its totient is φ = 138555256320.

The previous prime is 217387106821. The next prime is 217387106887. The reversal of 217387106825 is 528601783712.

It is not a de Polignac number, because 217387106825 - 22 = 217387106821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (217387106821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440564 + ... + 793013.

It is an arithmetic number, because the mean of its divisors is an integer number (6883365240).

Almost surely, 2217387106825 is an apocalyptic number.

217387106825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

217387106825 is a deficient number, since it is larger than the sum of its proper divisors (113014424695).

217387106825 is a wasteful number, since it uses less digits than its factorization.

217387106825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233666 (or 1233661 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 217387106825 in words is "two hundred seventeen billion, three hundred eighty-seven million, one hundred six thousand, eight hundred twenty-five".

Divisors: 1 5 7 19 25 35 53 95 133 175 265 371 475 665 1007 1325 1855 3325 5035 7049 9275 25175 35245 176225 1233577 6167885 8635039 23437963 30839425 43175195 65379581 117189815 164065741 215875975 326897905 457657067 585949075 820328705 1242212039 1634489525 2288285335 4101643525 6211060195 8695484273 11441426675 31055300975 43477421365 217387106825