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116631129169 = 172200892
BaseRepresentation
bin110110010011111000…
…0011100110001010001
3102011001020001020111201
41230213300130301101
53402330032113134
6125325105511201
711266141145362
oct1544760346121
9364036036451
10116631129169
1145510260655
121a72b642501
13acc9270489
145905b5db69
15307934b914
hex1b27c1cc51

116631129169 has 9 divisors (see below), whose sum is σ = 123901519377. Its totient is φ = 109765010304.

The previous prime is 116631129137. The next prime is 116631129227. The reversal of 116631129169 is 961921136611.

The square root of 116631129169 is 341513.

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 1634180625 + 114996948544 = 40425^2 + 339112^2 .

It is not a de Polignac number, because 116631129169 - 25 = 116631129137 is a prime.

It is a super-2 number, since 2×1166311291692 (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 (116631129569) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5795677 + ... + 5815765.

Almost surely, 2116631129169 is an apocalyptic number.

116631129169 is the 341513-rd square number.

116631129169 is the 170757-th centered octagonal number.

It is an amenable number.

116631129169 is a deficient number, since it is larger than the sum of its proper divisors (7270390208).

116631129169 is an frugal number, since it uses more digits than its factorization.

116631129169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40212 (or 20106 counting only the distinct ones).

The product of its digits is 104976, while the sum is 46.

The spelling of 116631129169 in words is "one hundred sixteen billion, six hundred thirty-one million, one hundred twenty-nine thousand, one hundred sixty-nine".

Divisors: 1 17 289 20089 341513 5805721 403567921 6860654657 116631129169