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12193144444 = 22132774012111
BaseRepresentation
bin10110101101100010…
…01001111001111100
31011110202112220201101
423112301021321330
5144432421110234
65333525222444
7611105006035
oct132661117174
934422486641
1012193144444
115197791988
122443561a24
1311c418b590
14839537a8c
154b56c3814
hex2d6c49e7c

12193144444 has 48 divisors (see below), whose sum is σ = 23130809856. Its totient is φ = 5590656000.

The previous prime is 12193144441. The next prime is 12193144487. The reversal of 12193144444 is 44444139121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12193144441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5774949 + ... + 5777059.

It is an arithmetic number, because the mean of its divisors is an integer number (481891872).

Almost surely, 212193144444 is an apocalyptic number.

It is an amenable number.

12193144444 is a deficient number, since it is larger than the sum of its proper divisors (10937665412).

12193144444 is a wasteful number, since it uses less digits than its factorization.

12193144444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2804 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

It can be divided in two parts, 121931 and 44444, that added together give a cube (166375 = 553).

The spelling of 12193144444 in words is "twelve billion, one hundred ninety-three million, one hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 277 401 554 802 1108 1604 2111 3601 4222 5213 7202 8444 10426 14404 20852 27443 54886 109772 111077 222154 444308 584747 846511 1169494 1444001 1693022 2338988 2888002 3386044 5776004 7601711 11004643 15203422 22009286 30406844 44018572 234483547 468967094 937934188 3048286111 6096572222 12193144444