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182729745961 = 727927732
BaseRepresentation
bin1010101000101110001…
…0101010011000101001
3122110122202020212201221
42222023202222120221
510443212303332321
6215540032342041
716126133133100
oct2521342523051
9573582225657
10182729745961
117054a1a5784
122b4b79a4921
1314301344449
148bb6573037
154b471b6e41
hex2a8b8aa629

182729745961 has 27 divisors (see below), whose sum is σ = 215566775991. Its totient is φ = 154442839824.

The previous prime is 182729745941. The next prime is 182729745983. The reversal of 182729745961 is 169547927281.

The square root of 182729745961 is 427469.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11628387225 + 171101358736 = 107835^2 + 413644^2 .

It is not a de Polignac number, because 182729745961 - 217 = 182729614889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 182729745961.

It is not an unprimeable number, because it can be changed into a prime (182729745941) 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 26 ways as a sum of consecutive naturals, for example, 236389971 + ... + 236390743.

Almost surely, 2182729745961 is an apocalyptic number.

182729745961 is the 427469-th square number.

182729745961 is the 213735-th centered octagonal number.

It is an amenable number.

182729745961 is a deficient number, since it is larger than the sum of its proper divisors (32837030030).

182729745961 is an frugal number, since it uses more digits than its factorization.

182729745961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 859 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 61.

The spelling of 182729745961 in words is "one hundred eighty-two billion, seven hundred twenty-nine million, seven hundred forty-five thousand, nine hundred sixty-one".

Divisors: 1 7 49 79 553 773 3871 5411 6241 37877 43687 61067 305809 427469 597529 2992283 4182703 4824293 29278921 33770051 47204791 236390357 330433537 2313034759 3729178489 26104249423 182729745961