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542032346136 = 233731936832347
BaseRepresentation
bin1111110001100111010…
…01010011110000011000
31220211002011111010112010
413320303221103300120
532340040240034021
61053001202145520
754106031631501
oct7706351236030
91824064433463
10542032346136
11199969146246
12890716522a0
133c1622914c8
141c33d6a9ba8
15e175c6b976
hex7e33a53c18

542032346136 has 128 divisors (see below), whose sum is σ = 1383371723520. Its totient is φ = 176944103424.

The previous prime is 542032346131. The next prime is 542032346159. The reversal of 542032346136 is 631643230245.

It is a junction number, because it is equal to n+sod(n) for n = 542032346094 and 542032346103.

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 31 ways as a sum of consecutive naturals, for example, 230945715 + ... + 230948061.

It is an arithmetic number, because the mean of its divisors is an integer number (10807591590).

Almost surely, 2542032346136 is an apocalyptic number.

It is an amenable number.

542032346136 is an abundant number, since it is smaller than the sum of its proper divisors (841339377384).

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

542032346136 is a wasteful number, since it uses less digits than its factorization.

542032346136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 542032346136 in words is "five hundred forty-two billion, thirty-two million, three hundred forty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 73 146 193 219 292 386 438 579 584 683 772 876 1158 1366 1544 1752 2049 2316 2347 2732 4098 4632 4694 5464 7041 8196 9388 14082 14089 16392 18776 28164 28178 42267 49859 56328 56356 84534 99718 112712 131819 149577 169068 171331 199436 263638 299154 338136 342662 395457 398872 452971 513993 527276 598308 685324 790914 905942 1027986 1054552 1196616 1358913 1370648 1581828 1603001 1811884 2055972 2717826 3163656 3206002 3623768 4111944 4809003 5435652 6412004 9618006 9622787 10871304 12824008 19236012 19245574 28868361 33066883 38472024 38491148 57736722 66133766 76982296 99200649 115473444 117019073 132267532 198401298 230946888 234038146 264535064 309379193 351057219 396802596 468076292 618758386 702114438 793605192 928137579 936152584 1237516772 1404228876 1856275158 2475033544 2808457752 3712550316 7425100632 22584681089 45169362178 67754043267 90338724356 135508086534 180677448712 271016173068 542032346136