Search a number
-
+
12190809744 = 243430672
BaseRepresentation
bin10110101101010000…
…01111111010010000
31011110121011022010000
423112220033322100
5144431321402434
65333403210000
7611046113241
oct132650177220
934417138100
1012190809744
115196437883
122442816900
1311c38519b9
148390cacc8
154b53b1b99
hex2d6a0fe90

12190809744 has 75 divisors (see below), whose sum is σ = 35295248307. Its totient is φ = 4062278304.

The previous prime is 12190809731. The next prime is 12190809749. The reversal of 12190809744 is 44790809121.

It is a happy number.

The square root of 12190809744 is 110412.

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

12190809744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12190809744.

It is not an unprimeable number, because it can be changed into a prime (12190809749) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 3973299 + ... + 3976365.

Almost surely, 212190809744 is an apocalyptic number.

12190809744 is the 110412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12190809744

12190809744 is an abundant number, since it is smaller than the sum of its proper divisors (23104438563).

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

12190809744 is an frugal number, since it uses more digits than its factorization.

12190809744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12190809744 in words is "twelve billion, one hundred ninety million, eight hundred nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3067 6134 9201 12268 18402 24536 27603 36804 49072 55206 73608 82809 110412 147216 165618 220824 248427 331236 441648 496854 662472 993708 1324944 1987416 3974832 9406489 18812978 28219467 37625956 56438934 75251912 84658401 112877868 150503824 169316802 225755736 253975203 338633604 451511472 507950406 677267208 761925609 1015900812 1354534416 1523851218 2031801624 3047702436 4063603248 6095404872 12190809744