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282049152889 = 72758692
BaseRepresentation
bin1000001101010110111…
…00001000011101111001
3222222000111020111210211
410012223130020131321
514110114040343024
6333323244111121
726243304146200
oct4065334103571
9888014214724
10282049152889
11a9686437169
12467b58354a1
132079bb4ac9a
14d91906c237
15750b7b4594
hex41ab708779

282049152889 has 9 divisors (see below), whose sum is σ = 328102318767. Its totient is φ = 241753230264.

The previous prime is 282049152877. The next prime is 282049152893. The reversal of 282049152889 is 988251940282.

The square root of 282049152889 is 531083.

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., 184842384489 + 97206768400 = 429933^2 + 311780^2 .

It is not a de Polignac number, because 282049152889 - 237 = 144610199417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (282049152289) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3679647 + ... + 3755515.

Almost surely, 2282049152889 is an apocalyptic number.

282049152889 is the 531083-rd square number.

282049152889 is the 265542-nd centered octagonal number.

It is an amenable number.

282049152889 is a deficient number, since it is larger than the sum of its proper divisors (46053165878).

282049152889 is an frugal number, since it uses more digits than its factorization.

282049152889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151752 (or 75876 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 58.

The spelling of 282049152889 in words is "two hundred eighty-two billion, forty-nine million, one hundred fifty-two thousand, eight hundred eighty-nine".

Divisors: 1 7 49 75869 531083 3717581 5756105161 40292736127 282049152889