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4084068743872 = 261318146758073
BaseRepresentation
bin111011011011100101011…
…101110111101011000000
3112110102200202212101020121
4323123211131313223000
51013403133044300442
612404110102550024
7601031013353545
oct73334535675300
915412622771217
104084068743872
111335053375197
1255b62a438314
13238183b70ab0
14101954604bcc
157138177c967
hex3b6e5777ac0

4084068743872 has 112 divisors (see below), whose sum is σ = 8794896600672. Its totient is φ = 1870494474240.

The previous prime is 4084068743869. The next prime is 4084068743891. The reversal of 4084068743872 is 2783478604804.

It is a self number, because there is not a number n which added to its sum of digits gives 4084068743872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70297428 + ... + 70355500.

It is an arithmetic number, because the mean of its divisors is an integer number (78525862506).

Almost surely, 24084068743872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4084068743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397448300336).

4084068743872 is an abundant number, since it is smaller than the sum of its proper divisors (4710827856800).

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

4084068743872 is a wasteful number, since it uses less digits than its factorization.

4084068743872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58746 (or 58736 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 61.

The spelling of 4084068743872 in words is "four trillion, eighty-four billion, sixty-eight million, seven hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 181 208 362 416 467 724 832 934 1448 1868 2353 2896 3736 4706 5792 6071 7472 9412 11584 12142 14944 18824 24284 29888 37648 48568 58073 75296 84527 97136 116146 150592 169054 194272 232292 338108 388544 464584 676216 754949 929168 1098851 1352432 1509898 1858336 2197702 2704864 3019796 3716672 4395404 5409728 6039592 8790808 10511213 12079184 17581616 21022426 24158368 27120091 35163232 42044852 48316736 54240182 70326464 84089704 108480364 136645769 168179408 216960728 273291538 336358816 352561183 433921456 546583076 672717632 705122366 867842912 1093166152 1410244732 1735685824 2186332304 2820489464 4372664608 4908736471 5640978928 8745329216 9817472942 11281957856 19634945884 22563915712 39269891768 63813574123 78539783536 127627148246 157079567072 255254296492 314159134144 510508592984 1021017185968 2042034371936 4084068743872