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2286745643728 = 247132719168029
BaseRepresentation
bin100001010001101100101…
…010010110101011010000
322002121111020100211001001
4201101230222112223100
5244431223341044403
64510303315151344
7324132455155330
oct41215452265320
98077436324031
102286745643728
11801892334037
1230b22a5a5554
131378403b4b00
147c9715750c0
153e73bc44c1d
hex2146ca96ad0

2286745643728 has 120 divisors (see below), whose sum is σ = 5490628934400. Its totient is φ = 903383050752.

The previous prime is 2286745643723. The next prime is 2286745643747. The reversal of 2286745643728 is 8273465476822.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2286745643728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286745643723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13525218 + ... + 13693246.

It is an arithmetic number, because the mean of its divisors is an integer number (45755241120).

Almost surely, 22286745643728 is an apocalyptic number.

2286745643728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286745643728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745314467200).

2286745643728 is an abundant number, since it is smaller than the sum of its proper divisors (3203883290672).

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

2286745643728 is a wasteful number, since it uses less digits than its factorization.

2286745643728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168789 (or 168770 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 64.

The spelling of 2286745643728 in words is "two trillion, two hundred eighty-six billion, seven hundred forty-five million, six hundred forty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 719 728 1183 1352 1438 1456 2366 2704 2876 4732 5033 5752 9347 9464 10066 11504 18694 18928 20132 37388 40264 65429 74776 80528 121511 130858 149552 168029 243022 261716 336058 486044 523432 672116 850577 972088 1046864 1176203 1344232 1701154 1944176 2184377 2352406 2688464 3402308 4368754 4704812 6804616 8737508 9409624 13609232 15290639 17475016 18819248 28396901 30581278 34950032 56793802 61162556 113587604 120812851 122325112 198778307 227175208 241625702 244650224 397556614 454350416 483251404 795113228 845689957 966502808 1570567063 1590226456 1691379914 1933005616 3141134126 3180452912 3382759828 6282268252 6765519656 10993969441 12564536504 13531039312 20417371819 21987938882 25129073008 40834743638 43975877764 81669487276 87951755528 142921602733 163338974552 175903511056 285843205466 326677949104 571686410932 1143372821864 2286745643728