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185945370745 = 5174197550061
BaseRepresentation
bin1010110100101100110…
…1010011000001111001
3122202221212000112200011
42231023031103001321
511021304003330440
6221231102341521
716301620400341
oct2551315230171
9582855015604
10185945370745
117194a350222
123005488a8a1
13146c45c3ac4
148ddd667d21
154c8464e9ea
hex2b4b353079

185945370745 has 32 divisors (see below), whose sum is σ = 244517960736. Its totient is φ = 135182745600.

The previous prime is 185945370739. The next prime is 185945370763. The reversal of 185945370745 is 547073549581.

185945370745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 29321767696 + 156623603049 = 171236^2 + 395757^2 .

It is not a de Polignac number, because 185945370745 - 223 = 185936982137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 185945370745.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 63015 + ... + 613075.

It is an arithmetic number, because the mean of its divisors is an integer number (7641186273).

Almost surely, 2185945370745 is an apocalyptic number.

It is an amenable number.

185945370745 is a deficient number, since it is larger than the sum of its proper divisors (58572589991).

185945370745 is a wasteful number, since it uses less digits than its factorization.

185945370745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550221.

The product of its (nonzero) digits is 21168000, while the sum is 58.

The spelling of 185945370745 in words is "one hundred eighty-five billion, nine hundred forty-five million, three hundred seventy thousand, seven hundred forty-five".

Divisors: 1 5 17 41 85 97 205 485 697 1649 3485 3977 8245 19885 67609 338045 550061 2750305 9351037 22552501 46755185 53355917 112762505 266779585 383392517 907050589 1916962585 2187592597 4535252945 10937962985 37189074149 185945370745