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42663088720 = 2457210883441
BaseRepresentation
bin100111101110111010…
…110001001001010000
311002010021010110110001
4213232322301021100
51144333222314340
631333230015344
73040142161600
oct475672611120
9132107113401
1042663088720
111710322400a
128327947554
13403ba142c5
1420ca152c00
15119a6ca29a
hex9eeeb1250

42663088720 has 60 divisors (see below), whose sum is σ = 115386252084. Its totient is φ = 14627343360.

The previous prime is 42663088697. The next prime is 42663088747. The reversal of 42663088720 is 2788036624.

42663088720 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 2 ways, for example, as 23320954944 + 19342133776 = 152712^2 + 139076^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5437801 + ... + 5445640.

Almost surely, 242663088720 is an apocalyptic number.

42663088720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42663088720 is an abundant number, since it is smaller than the sum of its proper divisors (72723163364).

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

42663088720 is a wasteful number, since it uses less digits than its factorization.

42663088720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10883468 (or 10883455 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 42663088720 in words is "forty-two billion, six hundred sixty-three million, eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 10883441 21766882 43533764 54417205 76184087 87067528 108834410 152368174 174135056 217668820 304736348 380920435 435337640 533288609 609472696 761840870 870675280 1066577218 1218945392 1523681740 2133154436 2666443045 3047363480 4266308872 5332886090 6094726960 8532617744 10665772180 21331544360 42663088720