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542032346135 = 57217232246011
BaseRepresentation
bin1111110001100111010…
…01010011110000010111
31220211002011111010112002
413320303221103300113
532340040240034020
61053001202145515
754106031631500
oct7706351236027
91824064433462
10542032346135
11199969146245
128907165229b
133c1622914c7
141c33d6a9ba7
15e175c6b975
hex7e33a53c17

542032346135 has 72 divisors (see below), whose sum is σ = 837490779216. Its totient is φ = 334605089280.

The previous prime is 542032346131. The next prime is 542032346159. The reversal of 542032346135 is 531643230245.

It is not a de Polignac number, because 542032346135 - 22 = 542032346131 is a prime.

It is a super-2 number, since 2×5420323461352 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542032346131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2080280 + ... + 2326290.

It is an arithmetic number, because the mean of its divisors is an integer number (11631816378).

Almost surely, 2542032346135 is an apocalyptic number.

542032346135 is a deficient number, since it is larger than the sum of its proper divisors (295458433081).

542032346135 is a wasteful number, since it uses less digits than its factorization.

542032346135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246093 (or 246063 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 542032346135 in words is "five hundred forty-two billion, thirty-two million, three hundred forty-six thousand, one hundred thirty-five".

Divisors: 1 5 7 17 23 35 49 85 115 119 161 245 391 529 595 805 833 1127 1955 2645 2737 3703 4165 5635 8993 13685 18515 19159 25921 44965 62951 95795 129605 246011 314755 440657 1230055 1722077 2203285 4182187 5658253 8610385 12054539 20910935 28291265 29275309 39607771 60272695 96190301 130139819 146376545 198038855 204927163 277254397 480951505 650699095 673332107 910978733 1024635815 1386271985 2212376923 3366660535 4554893665 4713324749 6376851131 11061884615 15486638461 23566623745 31884255655 77433192305 108406469227 542032346135