Search a number
-
+
12349432384 = 262924792
BaseRepresentation
bin10111000000001010…
…10110001001000000
31011212122122011110121
423200011112021000
5200242423314014
65401231110024
7615013305022
oct134005261100
934778564417
1012349432384
115267a29373
122487972314
13121a67c553
148521bc012
154c4296124
hex2e0156240

12349432384 has 63 divisors (see below), whose sum is σ = 25433171257. Its totient is φ = 5949348608.

The previous prime is 12349432373. The next prime is 12349432387. The reversal of 12349432384 is 48323494321.

The square root of 12349432384 is 111128.

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., 6475742784 + 5873689600 = 80472^2 + 76640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12349432384.

It is not an unprimeable number, because it can be changed into a prime (12349432387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25781457 + ... + 25781935.

Almost surely, 212349432384 is an apocalyptic number.

12349432384 is the 111128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12349432384

12349432384 is an abundant number, since it is smaller than the sum of its proper divisors (13083738873).

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

12349432384 is an frugal number, since it uses more digits than its factorization.

12349432384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 510 counting only the distinct ones).

The product of its digits is 497664, while the sum is 43.

The spelling of 12349432384 in words is "twelve billion, three hundred forty-nine million, four hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 479 841 928 958 1682 1856 1916 3364 3832 6728 7664 13456 13891 15328 26912 27782 30656 53824 55564 111128 222256 229441 402839 444512 458882 805678 889024 917764 1611356 1835528 3222712 3671056 6445424 6653789 7342112 12890848 13307578 14684224 25781696 26615156 53230312 106460624 192959881 212921248 385919762 425842496 771839524 1543679048 3087358096 6174716192 12349432384