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282065681313 = 32132410817789
BaseRepresentation
bin1000001101011000110…
…11001011101110100001
3222222001122100020112200
410012230123023232201
514110132303300223
6333325034243413
726243564506053
oct4065433135641
9888048306480
10282065681313
11a96947a6219
12467bb286569
13207a23b7210
14d91b3318d3
15750ce7ba43
hex41ac6cbba1

282065681313 has 12 divisors (see below), whose sum is σ = 438768837780. Its totient is φ = 173578880736.

The previous prime is 282065681297. The next prime is 282065681323. The reversal of 282065681313 is 313186560282.

282065681313 is a `hidden beast` number, since 2 + 8 + 206 + 56 + 81 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157817891169 + 124247790144 = 397263^2 + 352488^2 .

It is not a de Polignac number, because 282065681313 - 24 = 282065681297 is a prime.

It is a super-2 number, since 2×2820656813132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (282065681323) 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 11 ways as a sum of consecutive naturals, for example, 1205408778 + ... + 1205409011.

It is an arithmetic number, because the mean of its divisors is an integer number (36564069815).

Almost surely, 2282065681313 is an apocalyptic number.

It is an amenable number.

282065681313 is a deficient number, since it is larger than the sum of its proper divisors (156703156467).

282065681313 is a wasteful number, since it uses less digits than its factorization.

282065681313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410817808 (or 2410817805 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 282065681313 in words is "two hundred eighty-two billion, sixty-five million, six hundred eighty-one thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 117 2410817789 7232453367 21697360101 31340631257 94021893771 282065681313