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131427529146498 = 2313411671279192407
BaseRepresentation
bin11101111000100001011011…
…001100000100000010000010
3122020100100102110221121211010
4131320201123030010002002
5114211302034430141443
61143304550125501350
736453216456224034
oct3570413314040202
9566310373847733
10131427529146498
1138971113992762
12128a7651711856
13584474168b350
1424651aa9cbc54
15102dae9462733
hex77885b304082

131427529146498 has 128 divisors (see below), whose sum is σ = 291944937553920. Its totient is φ = 39185806164480.

The previous prime is 131427529146467. The next prime is 131427529146509. The reversal of 131427529146498 is 894641925724131.

It is a happy 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, 682974211 + ... + 683166617.

It is an arithmetic number, because the mean of its divisors is an integer number (2280819824640).

Almost surely, 2131427529146498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131427529146498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145972468776960).

131427529146498 is an abundant number, since it is smaller than the sum of its proper divisors (160517408407422).

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

131427529146498 is a wasteful number, since it uses less digits than its factorization.

131427529146498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193912.

The product of its digits is 104509440, while the sum is 66.

The spelling of 131427529146498 in words is "one hundred thirty-one trillion, four hundred twenty-seven billion, five hundred twenty-nine million, one hundred forty-six thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 167 246 334 501 533 1002 1066 1279 1599 2171 2558 3198 3837 4342 6513 6847 7674 13026 13694 16627 20541 33254 41082 49881 52439 89011 99762 104878 157317 178022 192407 213593 267033 314634 384814 427186 534066 577221 640779 681707 1154442 1281558 1363414 2045121 2501291 2776709 4090242 5002582 5553418 7503873 7888687 8330127 8757313 15007746 15777374 16660254 17514626 23666061 26271939 32131969 47332122 52543878 64263938 96395907 102552931 113845069 192791814 205105862 227690138 246088553 307658793 341535207 417715597 492177106 615317586 683070414 738265659 835431194 1253146791 1317410729 1476531318 2506293582 2634821458 3199151189 3952232187 6398302378 7904464374 9597453567 10089630673 17126339477 19194907134 20179261346 30268892019 34252678954 41096788351 51379018431 60537784038 82193576702 102758036862 123290365053 131165198749 246580730106 262330397498 393495596247 534258248563 786991192494 1068516497126 1602774745689 1684968322391 3205549491378 3369936644782 5054904967173 10109809934346 21904588191083 43809176382166 65713764573249 131427529146498