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42824127321 = 3217279896257
BaseRepresentation
bin100111111000100001…
…000101001101011001
311002112111011001212200
4213320201011031121
51200200434033241
631401221400413
73044136035103
oct477041051531
9132474131780
1042824127321
1117186115768
128371869109
1340661a9711
1421036b2573
1511a98da4b6
hex9f8845359

42824127321 has 12 divisors (see below), whose sum is σ = 65495724372. Its totient is φ = 26870040576.

The previous prime is 42824127301. The next prime is 42824127347. The reversal of 42824127321 is 12372142824.

It can be written as a sum of positive squares in 2 ways, for example, as 14826471696 + 27997655625 = 121764^2 + 167325^2 .

It is not a de Polignac number, because 42824127321 - 27 = 42824127193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42824127301) 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 11 ways as a sum of consecutive naturals, for example, 139947976 + ... + 139948281.

It is an arithmetic number, because the mean of its divisors is an integer number (5457977031).

Almost surely, 242824127321 is an apocalyptic number.

It is an amenable number.

42824127321 is a deficient number, since it is larger than the sum of its proper divisors (22671597051).

42824127321 is a wasteful number, since it uses less digits than its factorization.

42824127321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279896280 (or 279896277 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 42824127321 in words is "forty-two billion, eight hundred twenty-four million, one hundred twenty-seven thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 279896257 839688771 2519066313 4758236369 14274709107 42824127321