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128221025784 = 233237310330893
BaseRepresentation
bin111011101101010010…
…0011001010111111000
3110020221221110222202220
41313122210121113320
54100044040311114
6134523125324040
712156302510415
oct1673244312770
9406857428686
10128221025784
114a418476505
1220a24b66620
13c125466a77
1462c510710c
153506ab00a9
hex1dda9195f8

128221025784 has 128 divisors (see below), whose sum is σ = 342374722560. Its totient is φ = 39929269248.

The previous prime is 128221025783. The next prime is 128221025789. The reversal of 128221025784 is 487520122821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128221025783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4135042 + ... + 4165934.

It is an arithmetic number, because the mean of its divisors is an integer number (2674802520).

Almost surely, 2128221025784 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 128221025784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171187361280).

128221025784 is an abundant number, since it is smaller than the sum of its proper divisors (214153696776).

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

128221025784 is a wasteful number, since it uses less digits than its factorization.

128221025784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31101 (or 31097 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 128221025784 in words is "one hundred twenty-eight billion, two hundred twenty-one million, twenty-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 73 92 103 138 146 184 206 219 276 292 309 412 438 552 584 618 824 876 1236 1679 1752 2369 2472 3358 4738 5037 6716 7107 7519 9476 10074 13432 14214 15038 18952 20148 22557 28428 30076 30893 40296 45114 56856 60152 61786 90228 92679 123572 172937 180456 185358 247144 345874 370716 518811 691748 710539 741432 1037622 1383496 1421078 2075244 2131617 2255189 2842156 3181979 4150488 4263234 4510378 5684312 6363958 6765567 8526468 9020756 9545937 12727916 13531134 17052936 18041512 19091874 25455832 27062268 38183748 51869347 54124536 73185517 76367496 103738694 146371034 155608041 207477388 219556551 232284467 292742068 311216082 414954776 439113102 464568934 585484136 622432164 696853401 878226204 929137868 1244864328 1393706802 1756452408 1858275736 2787413604 5342542741 5574827208 10685085482 16027628223 21370170964 32055256446 42740341928 64110512892 128221025784