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12382248444 = 22323202922111
BaseRepresentation
bin10111000100000101…
…00001110111111100
31011221221101101122020
423202002201313330
5200324323422234
65404402320140
7615562242456
oct134202416774
934857341566
1012382248444
115284502585
122496959050
1312243cc237
148566c12d6
154c70c9549
hex2e20a1dfc

12382248444 has 48 divisors (see below), whose sum is σ = 30164305920. Its totient is φ = 3945839040.

The previous prime is 12382248433. The next prime is 12382248533. The reversal of 12382248444 is 44484228321.

12382248444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123822484442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12382248396 and 12382248405.

It is a congruent number.

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, 548949 + ... + 571059.

It is an arithmetic number, because the mean of its divisors is an integer number (628423040).

Almost surely, 212382248444 is an apocalyptic number.

It is an amenable number.

12382248444 is an abundant number, since it is smaller than the sum of its proper divisors (17782057476).

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

12382248444 is a wasteful number, since it uses less digits than its factorization.

12382248444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24170 (or 24168 counting only the distinct ones).

The product of its digits is 393216, while the sum is 42.

The spelling of 12382248444 in words is "twelve billion, three hundred eighty-two million, two hundred forty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 2029 4058 6087 8116 12174 22111 24348 44222 46667 66333 88444 93334 132666 140001 186668 265332 280002 508553 560004 1017106 1525659 2034212 3051318 6102636 44863219 89726438 134589657 179452876 269179314 538358628 1031854037 2063708074 3095562111 4127416148 6191124222 12382248444