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1283297011929 = 322944492
BaseRepresentation
bin10010101011001010011…
…101100110100011011001
311112200102011201202002100
4102223022131212203121
5132011143013340204
62421312152354013
7161500203423222
oct22531235464331
94480364652070
101283297011929
11455274787019
121888656a5909
13940257c6a4a
144617d102249
15235ac86ba39
hex12aca7668d9

1283297011929 has 45 divisors (see below), whose sum is σ = 1924138340683. Its totient is φ = 824190549504.

The previous prime is 1283297011907. The next prime is 1283297011937. The reversal of 1283297011929 is 9291107923821.

The square root of 1283297011929 is 1132827.

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

1283297011929 is a `hidden beast` number, since 128 + 329 + 7 + 0 + 1 + 192 + 9 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 438809530329 + 844487481600 = 662427^2 + 918960^2 .

It is not a de Polignac number, because 1283297011929 - 29 = 1283297011417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1283297011229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2858122297 + ... + 2858122745.

Almost surely, 21283297011929 is an apocalyptic number.

1283297011929 is the 1132827-th square number.

1283297011929 is the 566414-th centered octagonal number.

It is an amenable number.

1283297011929 is a deficient number, since it is larger than the sum of its proper divisors (640841328754).

1283297011929 is an frugal number, since it uses more digits than its factorization.

1283297011929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1283297011929 in words is "one trillion, two hundred eighty-three billion, two hundred ninety-seven million, eleven thousand, nine hundred twenty-nine".

Divisors: 1 3 9 29 87 261 449 841 1347 2523 4041 7569 13021 24389 39063 73167 117189 201601 219501 377609 604803 707281 1132827 1814409 2121843 3398481 5846429 6365529 10950661 17539287 32851983 52617861 98555949 169546441 317569169 508639323 952707507 1525917969 2858122521 4916846789 14750540367 44251621101 142588556881 427765670643 1283297011929