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42858985780 = 225131137012081
BaseRepresentation
bin100111111010100110…
…000011100100110100
311002121220202001200201
4213322212003210310
51200233400021110
631404504450244
73045041240212
oct477246034464
9132556661621
1042858985780
11171a3864406
128381479984
134070492c20
142108187cb2
1511ac9c3b3a
hex9fa983934

42858985780 has 96 divisors (see below), whose sum is σ = 97971558048. Its totient is φ = 15654912000.

The previous prime is 42858985751. The next prime is 42858985781. The reversal of 42858985780 is 8758985824.

42858985780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 23914766736 + 18944219044 = 154644^2 + 137638^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42858985781) 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, 20594340 + ... + 20596420.

It is an arithmetic number, because the mean of its divisors is an integer number (1020537063).

Almost surely, 242858985780 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 42858985780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48985779024).

42858985780 is an abundant number, since it is smaller than the sum of its proper divisors (55112572268).

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

42858985780 is a wasteful number, since it uses less digits than its factorization.

42858985780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 64.

The spelling of 42858985780 in words is "forty-two billion, eight hundred fifty-eight million, nine hundred eighty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 701 1130 1402 1469 2081 2260 2804 2938 3505 4162 5876 7010 7345 8324 9113 10405 14020 14690 18226 20810 27053 29380 36452 41620 45565 54106 79213 91130 108212 135265 158426 182260 235153 270530 316852 396065 470306 541060 792130 940612 1029769 1175765 1458781 1584260 2059538 2351530 2917562 3056989 4119076 4703060 5148845 5835124 6113978 7293905 10297690 12227956 14587810 15284945 18964153 20595380 29175620 30569890 37928306 61139780 75856612 94820765 164842253 189641530 329684506 379283060 659369012 824211265 1648422530 2142949289 3296845060 4285898578 8571797156 10714746445 21429492890 42858985780