Search a number
-
+
42754067761 is a prime number
BaseRepresentation
bin100111110100010101…
…110100110100110001
311002100121022200020011
4213310111310310301
51200030020132021
631350240014521
73042325402606
oct476425646461
9132317280204
1042754067761
111714a6139a9
128352301441
134054819a62
1420d82766ad
1511a369bde1
hex9f4574d31

42754067761 has 2 divisors, whose sum is σ = 42754067762. Its totient is φ = 42754067760.

The previous prime is 42754067743. The next prime is 42754067791. The reversal of 42754067761 is 16776045724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42171086736 + 582981025 = 205356^2 + 24145^2 .

It is a cyclic number.

It is not a de Polignac number, because 42754067761 - 217 = 42753936689 is a prime.

It is a super-2 number, since 2×427540677612 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42754067711) 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, 21377033880 + 21377033881.

It is an arithmetic number, because the mean of its divisors is an integer number (21377033881).

Almost surely, 242754067761 is an apocalyptic number.

It is an amenable number.

42754067761 is a deficient number, since it is larger than the sum of its proper divisors (1).

42754067761 is an equidigital number, since it uses as much as digits as its factorization.

42754067761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 42754067761 in words is "forty-two billion, seven hundred fifty-four million, sixty-seven thousand, seven hundred sixty-one".