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206166561525152 = 2531320583722197
BaseRepresentation
bin101110111000000111100100…
…101010100000110110100000
31000000222022221011001202211122
4232320013210222200312200
5204010313104222301102
62010251335540031412
761266020405403104
oct5670074452406640
91000868834052748
10206166561525152
115a766825258918
121b158564392568
138b0656709b647
1438ca72c945904
1518c7ceaa6a0a2
hexbb81e4aa0da0

206166561525152 has 24 divisors (see below), whose sum is σ = 407187192520836. Its totient is φ = 102753941202432.

The previous prime is 206166561525151. The next prime is 206166561525167. The reversal of 206166561525152 is 251525165661602.

It can be written as a sum of positive squares in 2 ways, for example, as 113606691918736 + 92559869606416 = 10658644^2 + 9620804^2 .

It is a super-3 number, since 3×2061665615251523 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 206166561525094 and 206166561525103.

It is not an unprimeable number, because it can be changed into a prime (206166561525151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10291851083 + ... + 10291871114.

Almost surely, 2206166561525152 is an apocalyptic number.

It is an amenable number.

206166561525152 is a deficient number, since it is larger than the sum of its proper divisors (201020630995684).

206166561525152 is a wasteful number, since it uses less digits than its factorization.

206166561525152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20583722520 (or 20583722512 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 53.

The spelling of 206166561525152 in words is "two hundred six trillion, one hundred sixty-six billion, five hundred sixty-one million, five hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 313 626 1252 2504 5008 10016 20583722197 41167444394 82334888788 164669777576 329339555152 658679110304 6442705047661 12885410095322 25770820190644 51541640381288 103083280762576 206166561525152