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186985017 = 3414915493
BaseRepresentation
bin10110010010100…
…10101000111001
3111000211211020000
423021102220321
5340332010032
630315423213
74430226552
oct1311225071
9430754200
10186985017
119660367a
1252754b09
132c97b32b
141ab95329
1511637e7c
hexb252a39

186985017 has 20 divisors (see below), whose sum is σ = 281216100. Its totient is φ = 123812064.

The previous prime is 186984997. The next prime is 186985033. The reversal of 186985017 is 710589681.

It can be written as a sum of positive squares in 2 ways, for example, as 14561856 + 172423161 = 3816^2 + 13131^2 .

It is not a de Polignac number, because 186985017 - 224 = 170207801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (186985717) 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 19 ways as a sum of consecutive naturals, for example, 4323 + ... + 19815.

It is an arithmetic number, because the mean of its divisors is an integer number (14060805).

Almost surely, 2186985017 is an apocalyptic number.

It is an amenable number.

186985017 is a deficient number, since it is larger than the sum of its proper divisors (94231083).

186985017 is a wasteful number, since it uses less digits than its factorization.

186985017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15654 (or 15645 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 186985017 is about 13674.2464874669. The cubic root of 186985017 is about 571.8326333570.

The spelling of 186985017 in words is "one hundred eighty-six million, nine hundred eighty-five thousand, seventeen".

Divisors: 1 3 9 27 81 149 447 1341 4023 12069 15493 46479 139437 418311 1254933 2308457 6925371 20776113 62328339 186985017