Search a number
-
+
12209098640 = 2451976011289
BaseRepresentation
bin10110101111011100…
…00000111110010000
31011111212120110202112
423113232000332100
5200001012124030
65335255204452
7611360424524
oct132756007620
934455513675
1012209098640
1151a5799572
122448976728
1311c758632b
1483b6cbd84
154b6cc5a95
hex2d7b80f90

12209098640 has 80 divisors (see below), whose sum is σ = 28599888240. Its totient is φ = 4847001600.

The previous prime is 12209098639. The next prime is 12209098663. The reversal of 12209098640 is 4689090221.

12209098640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3957919744 + 8251178896 = 62912^2 + 90836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9471116 + ... + 9472404.

It is an arithmetic number, because the mean of its divisors is an integer number (357498603).

Almost surely, 212209098640 is an apocalyptic number.

12209098640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12209098640 is an abundant number, since it is smaller than the sum of its proper divisors (16390789600).

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

12209098640 is a wasteful number, since it uses less digits than its factorization.

12209098640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 12209098640 in words is "twelve billion, two hundred nine million, ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 394 601 788 985 1202 1289 1576 1970 2404 2578 3005 3152 3940 4808 5156 6010 6445 7880 9616 10312 12020 12890 15760 20624 24040 25780 48080 51560 103120 118397 236794 253933 473588 507866 591985 774689 947176 1015732 1183970 1269665 1549378 1894352 2031464 2367940 2539330 3098756 3873445 4062928 4735880 5078660 6197512 7746890 9471760 10157320 12395024 15493780 20314640 30987560 61975120 152613733 305227466 610454932 763068665 1220909864 1526137330 2441819728 3052274660 6104549320 12209098640