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945117085 = 51123742221
BaseRepresentation
bin111000010101010…
…101011110011101
32102212101220220111
4320111111132131
53413422221320
6233441050021
732264235253
oct7025253635
92385356814
10945117085
11445548500
12224626911
13120a623a3
148d7425d3
1557e8ea5a
hex3855579d

945117085 has 24 divisors (see below), whose sum is σ = 1280339928. Its totient is φ = 668764800.

The previous prime is 945117083. The next prime is 945117097. The reversal of 945117085 is 580711549.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 555686329 + 389430756 = 23573^2 + 19734^2 .

It is not a de Polignac number, because 945117085 - 21 = 945117083 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945117083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1275 + ... + 43495.

It is an arithmetic number, because the mean of its divisors is an integer number (53347497).

Almost surely, 2945117085 is an apocalyptic number.

It is an amenable number.

945117085 is a deficient number, since it is larger than the sum of its proper divisors (335222843).

945117085 is a wasteful number, since it uses less digits than its factorization.

945117085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42285 (or 42274 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

The square root of 945117085 is about 30742.7566265616. The cubic root of 945117085 is about 981.3604197214.

The spelling of 945117085 in words is "nine hundred forty-five million, one hundred seventeen thousand, eighty-five".

Divisors: 1 5 11 37 55 121 185 407 605 2035 4477 22385 42221 211105 464431 1562177 2322155 5108741 7810885 17183947 25543705 85919735 189023417 945117085