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266004213340242 = 231329532698248363
BaseRepresentation
bin111100011110110111101110…
…101001010001100001010010
31021212211202100222200222200110
4330132313232221101201102
5234331203112103341432
62341424352033302150
7110013112244626266
oct7436675651214122
91255752328628613
10266004213340242
1177836831795783
1225a01494a04956
13b557122066ba0
14499895b9560a6
1520b45a7941dcc
hexf1edeea51852

266004213340242 has 128 divisors (see below), whose sum is σ = 606116181484800. Its totient is φ = 77245844143104.

The previous prime is 266004213340223. The next prime is 266004213340247. The reversal of 266004213340242 is 242043312400662.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 266004213340242.

It is not an unprimeable number, because it can be changed into a prime (266004213340247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28125153 + ... + 36373515.

It is an arithmetic number, because the mean of its divisors is an integer number (4735282667850).

Almost surely, 2266004213340242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266004213340242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303058090742400).

266004213340242 is an abundant number, since it is smaller than the sum of its proper divisors (340111968144558).

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

266004213340242 is a wasteful number, since it uses less digits than its factorization.

266004213340242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248732.

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 266004213340242 in words is "two hundred sixty-six trillion, four billion, two hundred thirteen million, three hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 29 39 53 58 78 87 106 159 174 269 318 377 538 689 754 807 1131 1378 1537 1614 2067 2262 3074 3497 4134 4611 6994 7801 9222 10491 14257 15602 19981 20982 23403 28514 39962 42771 46806 59943 85542 101413 119886 185341 202826 304239 370682 413453 556023 608478 826906 1112046 1240359 2480718 5374889 8248363 10749778 16124667 16496726 24745089 32249334 49490178 107228719 214457438 239202527 321686157 437163239 478405054 643372314 717607581 874326478 1311489717 1435215162 2218809647 2622979434 3109632851 4437619294 5683122107 6219265702 6656428941 9328898553 11366244214 12677733931 13312857882 17049366321 18657797106 25355467862 28844525411 34098732642 38033201793 57689050822 64345479763 76066403586 86533576233 117596911291 128690959526 164810541103 173067152466 193036439289 235193822582 329621082206 352790733873 386072878578 494431623309 705581467746 836491236919 988863246618 1528759846783 1672982473838 2509473710757 3057519693566 3410310427439 4586279540349 5018947421514 6820620854878 9172559080698 10230931282317 20461862564634 44334035556707 88668071113414 133002106670121 266004213340242