Search a number
-
+
42171782612680 = 2357315391669817
BaseRepresentation
bin10011001011010111000100…
…00111110100011011001000
312112022120202001001202021201
421211223202013310123020
521011420302322101210
6225405241030513544
711611545041466340
oct1145534207643310
9175276661052251
1042171782612680
1112489a52961346
1248912108058b4
131a6ba22198ac6
14a5b1a766dd20
154d1eb8cb653a
hex265ae21f46c8

42171782612680 has 128 divisors (see below), whose sum is σ = 114051920762880. Its totient is φ = 13728471644160.

The previous prime is 42171782612657. The next prime is 42171782612719. The reversal of 42171782612680 is 8621628717124.

It is a happy number.

It is a super-2 number, since 2×421717826126802 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45374869 + ... + 46294948.

It is an arithmetic number, because the mean of its divisors is an integer number (891030630960).

Almost surely, 242171782612680 is an apocalyptic number.

42171782612680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42171782612680 is an abundant number, since it is smaller than the sum of its proper divisors (71880138150200).

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

42171782612680 is a wasteful number, since it uses less digits than its factorization.

42171782612680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91669919 (or 91669915 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 55.

The spelling of 42171782612680 in words is "forty-two trillion, one hundred seventy-one billion, seven hundred eighty-two million, six hundred twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 53 56 62 70 106 124 140 155 212 217 248 265 280 310 371 424 434 530 620 742 868 1060 1085 1240 1484 1643 1736 1855 2120 2170 2968 3286 3710 4340 6572 7420 8215 8680 11501 13144 14840 16430 23002 32860 46004 57505 65720 92008 115010 230020 460040 91669817 183339634 366679268 458349085 641688719 733358536 916698170 1283377438 1833396340 2566754876 2841764327 3208443595 3666792680 4858500301 5133509752 5683528654 6416887190 9717000602 11367057308 12833774380 14208821635 19434001204 19892350289 22734114616 24292501505 25667548760 28417643270 34009502107 38868002408 39784700578 48585003010 56835286540 68019004214 79569401156 97170006020 99461751445 113670573080 136038008428 150613509331 159138802312 170047510535 194340012040 198923502890 272076016856 301227018662 340095021070 397847005780 602454037324 680190042140 753067546655 795694011560 1054294565317 1204908074648 1360380084280 1506135093310 2108589130634 3012270186620 4217178261268 5271472826585 6024540373240 8434356522536 10542945653170 21085891306340 42171782612680