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12404836129 = 7422732
BaseRepresentation
bin10111000110110001…
…01100011100100001
31012000111212222010011
423203120230130201
5200401114224004
65410530404521
7616255240000
oct134330543441
935014788104
1012404836129
11529622aa94
1224a2430741
131228caa42a
148596c0c37
154c908c004
hex2e362c721

12404836129 has 15 divisors (see below), whose sum is σ = 14477817203. Its totient is φ = 10628038848.

The previous prime is 12404836127. The next prime is 12404836151. The reversal of 12404836129 is 92163840421.

The square root of 12404836129 is 111377.

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

It can be written as a sum of positive squares in only one way, i.e., 11047061025 + 1357775104 = 105105^2 + 36848^2 .

It is not a de Polignac number, because 12404836129 - 21 = 12404836127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12404836091 and 12404836100.

It is not an unprimeable number, because it can be changed into a prime (12404836121) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5456337 + ... + 5458609.

Almost surely, 212404836129 is an apocalyptic number.

12404836129 is the 111377-th square number.

12404836129 is the 55689-th centered octagonal number.

It is an amenable number.

12404836129 is a deficient number, since it is larger than the sum of its proper divisors (2072981074).

12404836129 is an frugal number, since it uses more digits than its factorization.

12404836129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 12404836129 in words is "twelve billion, four hundred four million, eight hundred thirty-six thousand, one hundred twenty-nine".

Divisors: 1 7 49 343 2273 2401 15911 111377 779639 5166529 5457473 36165703 253159921 1772119447 12404836129