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12288831025 = 52221712
BaseRepresentation
bin10110111000111100…
…01010111000110001
31011201102121022000211
423130132022320301
5200131420043100
65351224144121
7613346224462
oct133436127061
934642538024
1012288831025
1152367a76a9
12246b608041
13120ac51963
14848124d69
154bdcc51ba
hex2dc78ae31

12288831025 has 9 divisors (see below), whose sum is σ = 15238837803. Its totient is φ = 9830621400.

The previous prime is 12288831019. The next prime is 12288831029. The reversal of 12288831025 is 52013888221.

The square root of 12288831025 is 110855.

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., 4423979169 + 7864851856 = 66513^2 + 88684^2 .

It is not a de Polignac number, because 12288831025 - 217 = 12288699953 is a prime.

It is a super-2 number, since 2×122888310252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12288831029) 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, 543190 + ... + 565360.

Almost surely, 212288831025 is an apocalyptic number.

12288831025 is the 110855-th square number.

12288831025 is the 55428-th centered octagonal number.

It is an amenable number.

12288831025 is a deficient number, since it is larger than the sum of its proper divisors (2950006778).

12288831025 is an frugal number, since it uses more digits than its factorization.

12288831025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44352 (or 22176 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 12288831025 in words is "twelve billion, two hundred eighty-eight million, eight hundred thirty-one thousand, twenty-five".

Divisors: 1 5 25 22171 110855 554275 491553241 2457766205 12288831025