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1283455612609 = 17210326472
BaseRepresentation
bin10010101011010011111…
…010100111011011000001
311112200211020011111022121
4102223103322213123001
5132012004114100414
62421340020004241
7161504140463662
oct22532372473301
94480736144277
101283455612609
11455346263065
121888aa830681
139404c6175c1
14461961c9369
15235bb749724
hex12ad3ea76c1

1283455612609 has 27 divisors (see below), whose sum is σ = 1378890573987. Its totient is φ = 1194381585984.

The previous prime is 1283455612603. The next prime is 1283455612627. The reversal of 1283455612609 is 9062165543821.

It is a happy number.

The square root of 1283455612609 is 1132897.

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., 999230148225 + 284225464384 = 999615^2 + 533128^2 .

It is not a de Polignac number, because 1283455612609 - 215 = 1283455579841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1283455612603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1983702324 + ... + 1983702970.

Almost surely, 21283455612609 is an apocalyptic number.

1283455612609 is the 1132897-th square number.

1283455612609 is the 566449-th centered octagonal number.

It is an amenable number.

1283455612609 is a deficient number, since it is larger than the sum of its proper divisors (95434961378).

1283455612609 is an frugal number, since it uses more digits than its factorization.

1283455612609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 1283455612609 in words is "one trillion, two hundred eighty-three billion, four hundred fifty-five million, six hundred twelve thousand, six hundred nine".

Divisors: 1 17 103 289 647 1751 10609 10999 29767 66641 180353 186983 418609 1132897 3066001 6864023 7116353 19259249 43116727 116688391 120978001 732984359 1983702647 4441022881 12460734103 75497388977 1283455612609