Search a number
-
+
8342593434252 = 223271110159296249
BaseRepresentation
bin111100101100110100101…
…0100010111001010001100
31002112112200200101002002100
41321121221110113022030
52043141112404344002
625424311242155100
71520506146106320
oct171315124271214
932475620332070
108342593434252
11272708a559070
12b28a257b2a90
1348691ab898ac
1420bad85a1980
15e7023b4111c
hex7966951728c

8342593434252 has 144 divisors (see below), whose sum is σ = 26294486400000. Its totient is φ = 2166686772480.

The previous prime is 8342593434239. The next prime is 8342593434257. The reversal of 8342593434252 is 2524343952438.

8342593434252 is a `hidden beast` number, since 8 + 3 + 4 + 2 + 593 + 4 + 3 + 42 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (8342593434257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28012624 + ... + 28308872.

It is an arithmetic number, because the mean of its divisors is an integer number (182600600000).

Almost surely, 28342593434252 is an apocalyptic number.

It is an amenable number.

8342593434252 is an abundant number, since it is smaller than the sum of its proper divisors (17951892965748).

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

8342593434252 is a wasteful number, since it uses less digits than its factorization.

8342593434252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306436 (or 306431 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 8342593434252 in words is "eight trillion, three hundred forty-two billion, five hundred ninety-three million, four hundred thirty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 10159 20318 30477 40636 60954 71113 91431 111749 121908 142226 182862 213339 223498 284452 296249 335247 365724 426678 446996 592498 640017 670494 782243 853356 888747 1005741 1184996 1280034 1340988 1564486 1777494 2011482 2073743 2346729 2560068 2666241 3128972 3258739 3554988 4022964 4147486 4693458 5332482 6221229 6517478 7040187 8294972 9386916 9776217 10664964 12442458 13034956 14080374 18663687 19552434 22811173 24884916 28160748 29328651 37327374 39104868 45622346 58657302 68433519 74654748 91244692 117314604 136867038 205300557 273734076 410601114 821202228 3009593591 6019187182 9028780773 12038374364 18057561546 21067155137 27086342319 33105529501 36115123092 42134310274 54172684638 63201465411 66211059002 84268620548 99316588503 108345369276 126402930822 132422118004 189604396233 198633177006 231738706507 252805861644 297949765509 379208792466 397266354012 463477413014 595899531018 695216119521 758417584932 926954826028 1191799062036 1390432239042 2085648358563 2780864478084 4171296717126 8342593434252