Search a number
-
+
8343417500190 = 23351039109327211
BaseRepresentation
bin111100101101001101001…
…1011111011001000011110
31002112121211002222222001000
41321122122123323020132
52043144304340001230
625424525120531130
71520535443415033
oct171323233731036
932477732888030
108343417500190
112727472736aa3
12b29015780aa6
13486a1c817786
1420bb75bd338a
15e707116db60
hex7969a6fb21e

8343417500190 has 128 divisors (see below), whose sum is σ = 22291722086400. Its totient is φ = 2220654683520.

The previous prime is 8343417500137. The next prime is 8343417500227. The reversal of 8343417500190 is 910057143438.

8343417500190 is a `hidden beast` number, since 8 + 3 + 43 + 4 + 17 + 500 + 1 + 90 = 666.

It is a super-2 number, since 2×83434175001902 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306605685 + ... + 306632895.

It is an arithmetic number, because the mean of its divisors is an integer number (174154078800).

Almost surely, 28343417500190 is an apocalyptic number.

8343417500190 is an abundant number, since it is smaller than the sum of its proper divisors (13948304586210).

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

8343417500190 is a wasteful number, since it uses less digits than its factorization.

8343417500190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29359 (or 29353 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 8343417500190 in words is "eight trillion, three hundred forty-three billion, four hundred seventeen million, five hundred thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1039 1093 2078 2186 3117 3279 5195 5465 6234 6558 9351 9837 10390 10930 15585 16395 18702 19674 27211 28053 29511 31170 32790 46755 49185 54422 56106 59022 81633 93510 98370 136055 140265 147555 163266 244899 272110 280530 295110 408165 489798 734697 816330 1135627 1224495 1469394 2271254 2448990 3406881 3673485 5678135 6813762 7346970 10220643 11356270 17034405 20441286 28272229 29741623 30661929 34068810 51103215 56544458 59483246 61323858 84816687 89224869 102206430 141361145 148708115 153309645 169633374 178449738 254450061 267674607 282722290 297416230 306619290 424083435 446124345 508900122 535349214 763350183 803023821 848166870 892248690 1272250305 1338373035 1526700366 1606047642 2544500610 2676746070 3816750915 4015119105 7633501830 8030238210 30901546297 61803092594 92704638891 154507731485 185409277782 278113916673 309015462970 463523194455 556227833346 834341750019 927046388910 1390569583365 1668683500038 2781139166730 4171708750095 8343417500190