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42785021761 is a prime number
BaseRepresentation
bin100111110110001011…
…111001111101000001
311002102202120022010121
4213312023321331001
51200110431144021
631353303300241
73043152453526
oct476613717501
9132382508117
1042785021761
1117166036119
12836074a681
13405b067031
1420dc41314d
1511a6263741
hex9f62f9f41

42785021761 has 2 divisors, whose sum is σ = 42785021762. Its totient is φ = 42785021760.

The previous prime is 42785021759. The next prime is 42785021821. The reversal of 42785021761 is 16712058724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31286534400 + 11498487361 = 176880^2 + 107231^2 .

It is a cyclic number.

It is not a de Polignac number, because 42785021761 - 21 = 42785021759 is a prime.

It is a super-2 number, since 2×427850217612 (a number of 22 digits) contains 22 as substring.

Together with 42785021759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (42785081761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21392510880 + 21392510881.

It is an arithmetic number, because the mean of its divisors is an integer number (21392510881).

Almost surely, 242785021761 is an apocalyptic number.

It is an amenable number.

42785021761 is a deficient number, since it is larger than the sum of its proper divisors (1).

42785021761 is an equidigital number, since it uses as much as digits as its factorization.

42785021761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160, while the sum is 43.

The spelling of 42785021761 in words is "forty-two billion, seven hundred eighty-five million, twenty-one thousand, seven hundred sixty-one".