Search a number
-
+
4206765128328 = 233372782252069
BaseRepresentation
bin111101001101110110101…
…111011011101010001000
3112220011101200202111212000
4331031312233123222020
51022410423333101303
612540321120151000
7612633363413250
oct75156657335210
915804350674760
104206765128328
111382096276914
1257b371168460
13246908877009
14107873abc960
1574663301da3
hex3d376bdba88

4206765128328 has 64 divisors (see below), whose sum is σ = 13354809936000. Its totient is φ = 1201932893376.

The previous prime is 4206765128327. The next prime is 4206765128351. The reversal of 4206765128328 is 8238215676024.

4206765128328 is a `hidden beast` number, since 4 + 20 + 6 + 7 + 6 + 512 + 83 + 28 = 666.

It is a super-3 number, since 3×42067651283283 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4206765128327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1391124523 + ... + 1391127546.

It is an arithmetic number, because the mean of its divisors is an integer number (208668905250).

Almost surely, 24206765128328 is an apocalyptic number.

It is an amenable number.

4206765128328 is an abundant number, since it is smaller than the sum of its proper divisors (9148044807672).

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

4206765128328 is a wasteful number, since it uses less digits than its factorization.

4206765128328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782252091 (or 2782252081 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 4206765128328 in words is "four trillion, two hundred six billion, seven hundred sixty-five million, one hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2782252069 5564504138 8346756207 11129008276 16693512414 19475764483 22258016552 25040268621 33387024828 38951528966 50080537242 58427293449 66774049656 75120805863 77903057932 100161074484 116854586898 150241611726 155806115864 175281880347 200322148968 233709173796 300483223452 350563760694 467418347592 525845641041 600966446904 701127521388 1051691282082 1402255042776 2103382564164 4206765128328