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81303108769 = 38927332
BaseRepresentation
bin100101110111000001…
…0101111110010100001
321202212011010212011201
41023232002233302201
52313002043440034
6101203343441201
75605524010351
oct1135602576241
9252764125151
1081303108769
1131531537a83
12139102b6201
1378890baaac
143d13c68b61
1521acac5014
hex12ee0afca1

81303108769 has 9 divisors (see below), whose sum is σ = 81624007353. Its totient is φ = 80983470192.

The previous prime is 81303108743. The next prime is 81303108781. The reversal of 81303108769 is 96780130318.

The square root of 81303108769 is 285137.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10061093025 + 71242015744 = 100305^2 + 266912^2 .

It is not a de Polignac number, because 81303108769 - 223 = 81294720161 is a prime.

It is a super-2 number, since 2×813031087692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81303108739) 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, 110917927 + ... + 110918659.

Almost surely, 281303108769 is an apocalyptic number.

81303108769 is the 285137-th square number.

81303108769 is the 142569-th centered octagonal number.

It is an amenable number.

81303108769 is a deficient number, since it is larger than the sum of its proper divisors (320898584).

81303108769 is an frugal number, since it uses more digits than its factorization.

81303108769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 81303108769 in words is "eighty-one billion, three hundred three million, one hundred eight thousand, seven hundred sixty-nine".

Divisors: 1 389 733 151321 285137 537289 110918293 209005421 81303108769