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42724905829 is a prime number
BaseRepresentation
bin100111110010100110…
…100101001101100101
311002021120110002120121
4213302212211031211
51200000033441304
631343315001541
73041522464444
oct476246451545
9132246402517
1042724905829
1117135106131
1283445992b1
13404b779388
1420d4444d5b
1511a0d3b554
hex9f29a5365

42724905829 has 2 divisors, whose sum is σ = 42724905830. Its totient is φ = 42724905828.

The previous prime is 42724905791. The next prime is 42724905851. The reversal of 42724905829 is 92850942724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34384284900 + 8340620929 = 185430^2 + 91327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42724905829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42724905889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21362452914 + 21362452915.

It is an arithmetic number, because the mean of its divisors is an integer number (21362452915).

Almost surely, 242724905829 is an apocalyptic number.

It is an amenable number.

42724905829 is a deficient number, since it is larger than the sum of its proper divisors (1).

42724905829 is an equidigital number, since it uses as much as digits as its factorization.

42724905829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 42724905829 in words is "forty-two billion, seven hundred twenty-four million, nine hundred five thousand, eight hundred twenty-nine".