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42205348269 = 337223308721
BaseRepresentation
bin100111010011101000…
…101000000110101101
311000221100210211121000
4213103220220012231
51142414032121034
631215555030513
73022613353410
oct472350500655
9130840724530
1042205348269
1116998900917
12821a59b439
133c97c37376
14208543bb77
15117040d599
hex9d3a281ad

42205348269 has 16 divisors (see below), whose sum is σ = 71458791040. Its totient is φ = 24117341760.

The previous prime is 42205348253. The next prime is 42205348303. The reversal of 42205348269 is 96284350224.

42205348269 is a `hidden beast` number, since 42 + 2 + 0 + 5 + 348 + 269 = 666.

It is not a de Polignac number, because 42205348269 - 24 = 42205348253 is a prime.

It is a super-2 number, since 2×422053482692 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42205348169) 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 15 ways as a sum of consecutive naturals, for example, 111654172 + ... + 111654549.

It is an arithmetic number, because the mean of its divisors is an integer number (4466174440).

Almost surely, 242205348269 is an apocalyptic number.

It is an amenable number.

42205348269 is a deficient number, since it is larger than the sum of its proper divisors (29253442771).

42205348269 is a wasteful number, since it uses less digits than its factorization.

42205348269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223308737 (or 223308731 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42205348269 in words is "forty-two billion, two hundred five million, three hundred forty-eight thousand, two hundred sixty-nine".

Divisors: 1 3 7 9 21 27 63 189 223308721 669926163 1563161047 2009778489 4689483141 6029335467 14068449423 42205348269