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8228135762 = 276112172
BaseRepresentation
bin1111010100110111…
…10110001101010010
3210020102200121022222
413222123312031102
5113322400321022
63440245301042
7410621000000
oct75233661522
923212617288
108228135762
113542628200
121717704782
13a1189b9b2
14580ad1a70
15332561242
hex1ea6f6352

8228135762 has 126 divisors (see below), whose sum is σ = 16813021701. Its totient is φ = 3017192640.

The previous prime is 8228135753. The next prime is 8228135767. The reversal of 8228135762 is 2675318228.

It can be written as a sum of positive squares in 2 ways, for example, as 7530594841 + 697540921 = 86779^2 + 26411^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=64141.

8228135762 is a modest number, since divided by 135762 gives 8228 as remainder.

It is not an unprimeable number, because it can be changed into a prime (8228135767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 484007978 + ... + 484007994.

Almost surely, 28228135762 is an apocalyptic number.

8228135762 is an abundant number, since it is smaller than the sum of its proper divisors (8584885939).

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

8228135762 is an frugal number, since it uses more digits than its factorization.

8228135762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 37 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 8228135762 is about 90709.0721041727. The cubic root of 8228135762 is about 2018.8334081881.

The spelling of 8228135762 in words is "eight billion, two hundred twenty-eight million, one hundred thirty-five thousand, seven hundred sixty-two".

Divisors: 1 2 7 11 14 17 22 34 49 77 98 119 121 154 187 238 242 289 343 374 539 578 686 833 847 1078 1309 1666 1694 2023 2057 2401 2618 3179 3773 4046 4114 4802 5831 5929 6358 7546 9163 11662 11858 14161 14399 16807 18326 22253 26411 28322 28798 33614 34969 40817 41503 44506 52822 64141 69938 81634 83006 99127 100793 117649 128282 155771 184877 198254 201586 235298 244783 285719 290521 311542 369754 448987 489566 571438 581042 693889 705551 897974 1090397 1294139 1387778 1411102 1713481 2000033 2033647 2180794 2588278 3142909 3426962 4000066 4067294 4857223 4938857 6285818 7632779 9714446 9877714 11994367 14235529 15265558 22000363 23988734 28471058 34000561 34571999 44000726 53429453 68001122 69143998 83960569 106858906 167921138 242003993 374006171 484007986 587723983 748012342 1175447966 4114067881 8228135762