Search a number
-
+
76753740821 is a prime number
BaseRepresentation
bin100011101111011100…
…0010010010000010101
321100010002201000120112
41013132320102100111
52224142424201241
655132111012405
75355013014062
oct1073670222025
9240102630515
1076753740821
112a60753855a
1212a6080a105
13731271a7b4
143a0198bc69
151ee34d41eb
hex11dee12415

76753740821 has 2 divisors, whose sum is σ = 76753740822. Its totient is φ = 76753740820.

The previous prime is 76753740667. The next prime is 76753740823. The reversal of 76753740821 is 12804735767.

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., 73068036721 + 3685704100 = 270311^2 + 60710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-76753740821 is a prime.

It is a super-2 number, since 2×767537408212 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 76753740823, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 76753740821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76753740823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38376870410 + 38376870411.

It is an arithmetic number, because the mean of its divisors is an integer number (38376870411).

Almost surely, 276753740821 is an apocalyptic number.

It is an amenable number.

76753740821 is a deficient number, since it is larger than the sum of its proper divisors (1).

76753740821 is an equidigital number, since it uses as much as digits as its factorization.

76753740821 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 50.

The spelling of 76753740821 in words is "seventy-six billion, seven hundred fifty-three million, seven hundred forty thousand, eight hundred twenty-one".