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4285044222048 = 253277711191461
BaseRepresentation
bin111110010110110000100…
…010011110100001100000
3120011122110002200111020100
4332112300202132201200
51030201232310101143
613040304440542400
7621404250630342
oct76266042364140
916148402614210
104285044222048
1114023058305a7
12592578781a00
132511022c2795
1410b57c08d292
15766e568c6d3
hex3e5b089e860

4285044222048 has 72 divisors (see below), whose sum is σ = 12185814959136. Its totient is φ = 1428322233600.

The previous prime is 4285044221893. The next prime is 4285044222049. The reversal of 4285044222048 is 8402224405824.

4285044222048 is a `hidden beast` number, since 42 + 8 + 504 + 42 + 2 + 20 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4285044221994 and 4285044222012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285044222049) 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 11 ways as a sum of consecutive naturals, for example, 22285038 + ... + 22476498.

It is an arithmetic number, because the mean of its divisors is an integer number (169247429988).

Almost surely, 24285044222048 is an apocalyptic number.

4285044222048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4285044222048 is an abundant number, since it is smaller than the sum of its proper divisors (7900770737088).

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

4285044222048 is a wasteful number, since it uses less digits than its factorization.

4285044222048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269188 (or 269177 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 45.

The spelling of 4285044222048 in words is "four trillion, two hundred eighty-five billion, forty-four million, two hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 77711 155422 191461 233133 310844 382922 466266 574383 621688 699399 765844 932532 1148766 1243376 1398798 1531688 1723149 1865064 2297532 2486752 2797596 3063376 3446298 3730128 4595064 5595192 6126752 6892596 7460256 9190128 11190384 13785192 18380256 22380768 27570384 55140768 14878625771 29757251542 44635877313 59514503084 89271754626 119029006168 133907631939 178543509252 238058012336 267815263878 357087018504 476116024672 535630527756 714174037008 1071261055512 1428348074016 2142522111024 4285044222048