Search a number
-
+
42642417350 = 25213319721817
BaseRepresentation
bin100111101101101011…
…111010011011000110
311002001211020020122202
4213231223322123012
51144312424323400
631331210554502
73036501365321
oct475553723306
9132054206582
1042642417350
11170a2595335
128320a38a32
134037657420
1420c74d17b8
1511989954d5
hex9edafa6c6

42642417350 has 96 divisors (see below), whose sum is σ = 89084464896. Its totient is φ = 15079219200.

The previous prime is 42642417341. The next prime is 42642417407. The reversal of 42642417350 is 5371424624.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943642 + ... + 1965458.

It is an arithmetic number, because the mean of its divisors is an integer number (927963176).

Almost surely, 242642417350 is an apocalyptic number.

42642417350 is an abundant number, since it is smaller than the sum of its proper divisors (46442047546).

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

42642417350 is a wasteful number, since it uses less digits than its factorization.

42642417350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21970 (or 21965 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 42642417350 in words is "forty-two billion, six hundred forty-two million, four hundred seventeen thousand, three hundred fifty".

Divisors: 1 2 5 10 13 25 26 31 50 62 65 97 130 155 194 310 325 403 485 650 775 806 970 1261 1550 2015 2425 2522 3007 4030 4850 6014 6305 10075 12610 15035 20150 21817 30070 31525 39091 43634 63050 75175 78182 109085 150350 195455 218170 283621 390910 545425 567242 676327 977275 1090850 1352654 1418105 1954550 2116249 2836210 3381635 4232498 6763270 7090525 8792251 10581245 14181050 16908175 17584502 21162490 27511237 33816350 43961255 52906225 55022474 65603719 87922510 105812450 131207438 137556185 219806275 275112370 328018595 439612550 656037190 687780925 852848347 1375561850 1640092975 1705696694 3280185950 4264241735 8528483470 21321208675 42642417350