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32442342020 = 225111767129469
BaseRepresentation
bin11110001101101101…
…101101101010000100
310002201221222201202222
4132031231231222010
51012420214421040
622523115551512
72225644233344
oct361555555204
9102657881688
1032442342020
1112838946810
126354a5b598
1330a03875aa
1417da96ad24
15c9d265bb5
hex78db6da84

32442342020 has 96 divisors (see below), whose sum is σ = 79869525120. Its totient is φ = 10937456640.

The previous prime is 32442342019. The next prime is 32442342029. The reversal of 32442342020 is 2024324423.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32442342029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185846 + ... + 315314.

It is an arithmetic number, because the mean of its divisors is an integer number (831974220).

Almost surely, 232442342020 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 32442342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39934762560).

32442342020 is an abundant number, since it is smaller than the sum of its proper divisors (47427183100).

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

32442342020 is a wasteful number, since it uses less digits than its factorization.

32442342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129573 (or 129571 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 32442342020 its reverse (2024324423), we get a palindrome (34466666443).

The spelling of 32442342020 in words is "thirty-two billion, four hundred forty-two million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 67 68 85 110 134 170 187 220 268 335 340 374 670 737 748 935 1139 1340 1474 1870 2278 2948 3685 3740 4556 5695 7370 11390 12529 14740 22780 25058 50116 62645 125290 129469 250580 258938 517876 647345 1294690 1424159 2200973 2589380 2848318 4401946 5696636 7120795 8674423 8803892 11004865 14241590 17348846 22009730 24210703 28483180 34697692 43372115 44019460 48421406 86744230 95418653 96842812 121053515 147465191 173488460 190837306 242107030 294930382 381674612 477093265 484214060 589860764 737325955 954186530 1474651910 1622117101 1908373060 2949303820 3244234202 6488468404 8110585505 16221171010 32442342020