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997527530169 = 323329212
BaseRepresentation
bin11101000010000010100…
…01100010101010111001
310112100210102000221111100
432201001101202222321
5112320414021431134
62042131404522013
7132032443051122
oct16410121425271
93470712027440
10997527530169
1135505a3157a5
121413b1b50309
13730b2c88141
14363cdd21049
151ae34677999
hexe841462ab9

997527530169 has 9 divisors (see below), whose sum is σ = 1440877427119. Its totient is φ = 665016355920.

The previous prime is 997527530161. The next prime is 997527530171. The reversal of 997527530169 is 961035725799.

The square root of 997527530169 is 998763.

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

997527530169 is a `hidden beast` number, since 9 + 9 + 75 + 27 + 530 + 1 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 779401168569 + 218126361600 = 882837^2 + 467040^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 997527530169 - 23 = 997527530161 is a prime.

It is a super-2 number, since 2×9975275301692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (997527530161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2829829 + ... + 3162749.

Almost surely, 2997527530169 is an apocalyptic number.

997527530169 is the 998763-rd square number.

997527530169 is the 499382-nd centered octagonal number.

It is an amenable number.

997527530169 is a deficient number, since it is larger than the sum of its proper divisors (443349896950).

997527530169 is an frugal number, since it uses more digits than its factorization.

997527530169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665848 (or 332924 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 63.

It can be divided in two parts, 997527 and 530169, that added together give a square (1527696 = 12362).

The spelling of 997527530169 in words is "nine hundred ninety-seven billion, five hundred twenty-seven million, five hundred thirty thousand, one hundred sixty-nine".

Divisors: 1 3 9 332921 998763 2996289 110836392241 332509176723 997527530169