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12189225248 = 252926732
BaseRepresentation
bin10110101101000100…
…01101000100100000
31011110111011210120222
423112202031010200
5144430420201443
65333305222212
7611026463564
oct132642150440
934414153528
1012189225248
115195555382
122442191968
1311c3418725
14838bd76a4
154b519c468
hex2d688d120

12189225248 has 54 divisors (see below), whose sum is σ = 24890557419. Its totient is φ = 5875709952.

The previous prime is 12189225241. The next prime is 12189225253. The reversal of 12189225248 is 84252298121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4270361104 + 7918864144 = 65348^2 + 88988^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78068.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12189225199 and 12189225208.

It is not an unprimeable number, because it can be changed into a prime (12189225241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18111440 + ... + 18112112.

Almost surely, 212189225248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12189225248

12189225248 is an abundant number, since it is smaller than the sum of its proper divisors (12701332171).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12189225248 is an frugal number, since it uses more digits than its factorization.

12189225248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 704 counting only the distinct ones).

The product of its digits is 184320, while the sum is 44.

The spelling of 12189225248 in words is "twelve billion, one hundred eighty-nine million, two hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 673 841 928 1346 1682 2692 3364 5384 6728 10768 13456 19517 21536 26912 39034 78068 156136 312272 452929 565993 624544 905858 1131986 1811716 2263972 3623432 4527944 7246864 9055888 13134941 14493728 18111776 26269882 52539764 105079528 210159056 380913289 420318112 761826578 1523653156 3047306312 6094612624 12189225248