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42436550380220 = 22537227622140609
BaseRepresentation
bin10011010011000100001111…
…00000101100101010111100
312120020220011011022221001022
421221202013200230222330
521030240023344131340
6230131025423003312
711636640164414063
oct1151420740545274
9176226134287038
1042436550380220
1112581270409957
1249145a2a39538
131a8a998942589
14a69d234d31da
154d8d133203b5
hex26988782cabc

42436550380220 has 96 divisors (see below), whose sum is σ = 91945553232960. Its totient is φ = 16440041594880.

The previous prime is 42436550380219. The next prime is 42436550380223. The reversal of 42436550380220 is 2208305563424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42436550380223) 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, 1044983276 + ... + 1045023884.

It is an arithmetic number, because the mean of its divisors is an integer number (957766179510).

Almost surely, 242436550380220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42436550380220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45972776616480).

42436550380220 is an abundant number, since it is smaller than the sum of its proper divisors (49509002852740).

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

42436550380220 is a wasteful number, since it uses less digits than its factorization.

42436550380220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47103 (or 47101 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 42436550380220 in words is "forty-two trillion, four hundred thirty-six billion, five hundred fifty million, three hundred eighty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 227 370 454 740 908 1135 2270 4540 6221 8399 12442 16798 24884 31105 33596 40609 41995 62210 81218 83990 124420 162436 167980 203045 230177 406090 460354 812180 920708 1150885 1412167 1502533 2301770 2824334 3005066 4603540 5648668 6010132 7060835 7512665 9218243 14121670 15025330 18436486 28243340 30050660 36872972 46091215 52250179 92182430 104500358 184364860 209000716 252628589 261250895 341074991 505257178 522501790 682149982 1010514356 1045003580 1263142945 1364299964 1705374955 2526285890 3410749910 5052571780 6821499820 9347257793 18694515586 37389031172 46736288965 57346689703 93472577930 114693379406 186945155860 229386758812 286733448515 573466897030 1146933794060 2121827519011 4243655038022 8487310076044 10609137595055 21218275190110 42436550380220