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42180379337 is a prime number
BaseRepresentation
bin100111010010001001…
…011000001011001001
311000212121211021122202
4213102021120023021
51142341134114322
631213303525545
73022161210605
oct472211301311
9130777737582
1042180379337
11169857a7338
1282121598b5
133c92a04355
142081dbc505
15116d12a292
hex9d22582c9

42180379337 has 2 divisors, whose sum is σ = 42180379338. Its totient is φ = 42180379336.

The previous prime is 42180379291. The next prime is 42180379349. The reversal of 42180379337 is 73397308124.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22230511801 + 19949867536 = 149099^2 + 141244^2 .

It is a cyclic number.

It is not a de Polignac number, because 42180379337 - 210 = 42180378313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42180379291 and 42180379300.

It is not a weakly prime, because it can be changed into another prime (42180379357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21090189668 + 21090189669.

It is an arithmetic number, because the mean of its divisors is an integer number (21090189669).

Almost surely, 242180379337 is an apocalyptic number.

It is an amenable number.

42180379337 is a deficient number, since it is larger than the sum of its proper divisors (1).

42180379337 is an equidigital number, since it uses as much as digits as its factorization.

42180379337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 42180379337 in words is "forty-two billion, one hundred eighty million, three hundred seventy-nine thousand, three hundred thirty-seven".