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115319330569 = 1926122932
BaseRepresentation
bin110101101100110010…
…0010101011100001001
3102000122210122222010101
41223121210111130021
53342133222034234
6124551005245401
711221502064562
oct1533144253411
9360583588111
10115319330569
11449a7834983
121a424263861
13ab4a5640a1
14581d84b169
152eee0ca814
hex1ad9915709

115319330569 has 27 divisors (see below), whose sum is σ = 124159887189. Its totient is φ = 107092156320.

The previous prime is 115319330557. The next prime is 115319330573. The reversal of 115319330569 is 965033913511.

The square root of 115319330569 is 339587.

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 322382025 + 114996948544 = 17955^2 + 339112^2 .

It is not a de Polignac number, because 115319330569 - 223 = 115310941961 is a prime.

It is a super-2 number, since 2×1153193305692 (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 (115319330579) 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, 393581187 + ... + 393581479.

Almost surely, 2115319330569 is an apocalyptic number.

115319330569 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

115319330569 is the 339587-th square number.

115319330569 is the 169794-th centered octagonal number.

It is an amenable number.

115319330569 is a deficient number, since it is larger than the sum of its proper divisors (8840556620).

115319330569 is an frugal number, since it uses more digits than its factorization.

115319330569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 46.

The spelling of 115319330569 in words is "one hundred fifteen billion, three hundred nineteen million, three hundred thirty thousand, five hundred sixty-nine".

Divisors: 1 19 61 293 361 1159 3721 5567 17873 22021 70699 85849 105773 339587 1090253 1343281 1631131 5236789 6452153 20714807 30991489 99498991 319444129 393581333 1890480829 6069438451 115319330569