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42218545348 = 22717243121333
BaseRepresentation
bin100111010100011010…
…111110000011000100
311000222021122022120201
4213110122332003010
51142430421422343
631221145540244
73023133500020
oct472432760304
9130867568521
1042218545348
11169a52a4aa1
128222aa4684
133c9a8a81a5
1420870b5380
15117166894d
hex9d46be0c4

42218545348 has 72 divisors (see below), whose sum is σ = 91782861632. Its totient is φ = 16633161216.

The previous prime is 42218545309. The next prime is 42218545349. The reversal of 42218545348 is 84354581224.

It is a super-2 number, since 2×422185453482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42218545298 and 42218545307.

It is not an unprimeable number, because it can be changed into a prime (42218545349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287290 + ... + 408622.

Almost surely, 242218545348 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 42218545348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45891430816).

42218545348 is an abundant number, since it is smaller than the sum of its proper divisors (49564316284).

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

42218545348 is a wasteful number, since it uses less digits than its factorization.

42218545348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121421 (or 121402 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 46.

The spelling of 42218545348 in words is "forty-two billion, two hundred eighteen million, five hundred forty-five thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 172 238 289 301 476 578 602 731 1156 1204 1462 2023 2924 4046 5117 8092 10234 12427 20468 24854 49708 86989 121333 173978 242666 347956 485332 849331 1698662 2062661 3397324 4125322 5217319 8250644 10434638 14438627 20869276 28877254 35065237 36521233 57754508 70130474 73042466 88694423 140260948 146084932 177388846 245456659 354777692 490913318 620860961 981826636 1241721922 1507805191 2483443844 3015610382 6031220764 10554636337 21109272674 42218545348