Search a number
-
+
41759763761 is a prime number
BaseRepresentation
bin100110111001000100…
…110110110100110001
310222210022100210120002
4212321010312310301
51141010444420021
631103440355345
73005563064252
oct467104666461
9128708323502
1041759763761
111678a330661
128115315b55
133c268253b1
1420421acb29
15114624350b
hex9b9136d31

41759763761 has 2 divisors, whose sum is σ = 41759763762. Its totient is φ = 41759763760.

The previous prime is 41759763739. The next prime is 41759763797. The reversal of 41759763761 is 16736795714.

41759763761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41720513536 + 39250225 = 204256^2 + 6265^2 .

It is a cyclic number.

It is not a de Polignac number, because 41759763761 - 226 = 41692654897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41759763697 and 41759763706.

It is not a weakly prime, because it can be changed into another prime (41759763701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20879881880 + 20879881881.

It is an arithmetic number, because the mean of its divisors is an integer number (20879881881).

Almost surely, 241759763761 is an apocalyptic number.

It is an amenable number.

41759763761 is a deficient number, since it is larger than the sum of its proper divisors (1).

41759763761 is an equidigital number, since it uses as much as digits as its factorization.

41759763761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6667920, while the sum is 56.

The spelling of 41759763761 in words is "forty-one billion, seven hundred fifty-nine million, seven hundred sixty-three thousand, seven hundred sixty-one".