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77344350241 is a prime number
BaseRepresentation
bin100100000001000010…
…1010010000000100001
321101122021001002101111
41020002011102000201
52231400123201431
655310445503321
75405444062324
oct1100205220041
9241567032344
1077344350241
112a88a962114
1212ba6571b41
1373a7ba9022
143a5a1ac7bb
15202a2997b1
hex1202152021

77344350241 has 2 divisors, whose sum is σ = 77344350242. Its totient is φ = 77344350240.

The previous prime is 77344350221. The next prime is 77344350299. The reversal of 77344350241 is 14205344377.

77344350241 is nontrivially palindromic in base 4.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69944909841 + 7399440400 = 264471^2 + 86020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77344350241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77344350194 and 77344350203.

It is not a weakly prime, because it can be changed into another prime (77344350221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38672175120 + 38672175121.

It is an arithmetic number, because the mean of its divisors is an integer number (38672175121).

Almost surely, 277344350241 is an apocalyptic number.

It is an amenable number.

77344350241 is a deficient number, since it is larger than the sum of its proper divisors (1).

77344350241 is an equidigital number, since it uses as much as digits as its factorization.

77344350241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 77344350241 in words is "seventy-seven billion, three hundred forty-four million, three hundred fifty thousand, two hundred forty-one".