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181820045 = 5112397757
BaseRepresentation
bin10101101011001…
…01101010001101
3110200010102012202
422311211222031
5333021220140
630013011245
74335305411
oct1265455215
9420112182
10181820045
11936a6100
1250a83b25
132b890434
141a20cd41
1510e67915
hexad65a8d

181820045 has 24 divisors (see below), whose sum is σ = 240743832. Its totient is φ = 131725440.

The previous prime is 181820033. The next prime is 181820069. The reversal of 181820045 is 540028181.

It can be written as a sum of positive squares in 4 ways, for example, as 37002889 + 144817156 = 6083^2 + 12034^2 .

It is a de Polignac number, because none of the positive numbers 2k-181820045 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239807 + ... + 240563.

It is an arithmetic number, because the mean of its divisors is an integer number (10030993).

Almost surely, 2181820045 is an apocalyptic number.

It is an amenable number.

181820045 is a deficient number, since it is larger than the sum of its proper divisors (58923787).

181820045 is a wasteful number, since it uses less digits than its factorization.

181820045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 181820045 is about 13484.0663377188. The cubic root of 181820045 is about 566.5182700615.

The spelling of 181820045 in words is "one hundred eighty-one million, eight hundred twenty thousand, forty-five".

Divisors: 1 5 11 55 121 397 605 757 1985 3785 4367 8327 21835 41635 48037 91597 240185 300529 457985 1502645 3305819 16529095 36364009 181820045