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4211440553556 = 22321714894621517
BaseRepresentation
bin111101010010001101011…
…010110000111001010100
3112220121110112101201112100
4331102031122300321110
51023000012240203211
612542413054522100
7613160265026505
oct75221532607124
915817415351470
104211440553556
111384075445005
12580256b06330
132471a23b2312
14107b98a10bac
15748389e3156
hex3d48d6b0e54

4211440553556 has 72 divisors (see below), whose sum is σ = 11279369261160. Its totient is φ = 1320348635136.

The previous prime is 4211440553503. The next prime is 4211440553569. The reversal of 4211440553556 is 6553550441124.

4211440553556 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 4 + 40 + 5 + 53 + 556 = 666.

4211440553556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1708824128400 + 2502616425156 = 1307220^2 + 1581966^2 .

It is a super-2 number, since 2×42114405535562 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399491 + ... + 3222026.

It is an arithmetic number, because the mean of its divisors is an integer number (156657906405).

Almost surely, 24211440553556 is an apocalyptic number.

It is an amenable number.

4211440553556 is an abundant number, since it is smaller than the sum of its proper divisors (7067928707604).

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

4211440553556 is a wasteful number, since it uses less digits than its factorization.

4211440553556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623033 (or 4623028 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 4211440553556 in words is "four trillion, two hundred eleven billion, four hundred forty million, five hundred fifty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1489 2978 4467 5956 8934 13401 17868 25313 26802 50626 53604 75939 101252 151878 227817 303756 455634 911268 4621517 9243034 13864551 18486068 27729102 41593653 55458204 78565789 83187306 157131578 166374612 235697367 314263156 471394734 707092101 942789468 1414184202 2828368404 6881438813 13762877626 20644316439 27525755252 41288632878 61932949317 82577265756 116984459821 123865898634 233968919642 247731797268 350953379463 467937839284 701906758926 1052860138389 1403813517852 2105720276778 4211440553556