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82434005552169 = 3479113257443591
BaseRepresentation
bin10010101111100100101001…
…100111100100110000101001
3101210212121120120201021120000
4102233210221213210300221
541301044320410132134
6451153354230453213
723235442335005055
oct2257445147446051
9353777516637500
1082434005552169
11242a207a0a1a47
1292b4319804209
1336cc654c1360b
14164db81a0cc65
1597e46e908e99
hex4af9299e4c29

82434005552169 has 80 divisors (see below), whose sum is σ = 126294262110720. Its totient is φ = 53570795765760.

The previous prime is 82434005552167. The next prime is 82434005552177. The reversal of 82434005552169 is 96125550043428.

82434005552169 is a `hidden beast` number, since 8 + 2 + 4 + 3 + 4 + 0 + 0 + 55 + 521 + 69 = 666.

It is not a de Polignac number, because 82434005552169 - 21 = 82434005552167 is a prime.

It is a super-2 number, since 2×824340055521692 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82434005552167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 185611564 + ... + 186055154.

It is an arithmetic number, because the mean of its divisors is an integer number (1578678276384).

Almost surely, 282434005552169 is an apocalyptic number.

It is an amenable number.

82434005552169 is a deficient number, since it is larger than the sum of its proper divisors (43860256558551).

82434005552169 is a wasteful number, since it uses less digits than its factorization.

82434005552169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444052 (or 444043 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 82434005552169 in words is "eighty-two trillion, four hundred thirty-four billion, five million, five hundred fifty-two thousand, one hundred sixty-nine".

Divisors: 1 3 9 27 79 81 113 237 257 339 711 771 1017 2133 2313 3051 6399 6939 8927 9153 20303 20817 26781 29041 60909 80343 87123 182727 241029 261369 443591 548181 723087 784107 1330773 1644543 2294239 2352321 3992319 6882717 11976957 20648151 35043689 35930871 50125783 61944453 105131067 114002887 150377349 185833359 315393201 342008661 451132047 946179603 1026025983 1353396141 2838538809 3078077949 3959936857 4060188423 9006228073 9234233847 11879810571 12882326231 27018684219 35639431713 38646978693 81056052657 106918295139 115940936079 243168157971 320754885417 347822808237 729504473913 1017703772249 1043468424711 3053111316747 9159333950241 27478001850723 82434005552169