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77991119977 is a prime number
BaseRepresentation
bin100100010100010100…
…0100000110001101001
321110022100001101200011
41020220220200301221
52234211211314402
655454552211521
75430456403351
oct1105050406151
9243270041604
1077991119977
1130091a54861
1213147099ba1
13747bb9b904
143abc04bb61
152066e54ed7
hex1228a20c69

77991119977 has 2 divisors, whose sum is σ = 77991119978. Its totient is φ = 77991119976.

The previous prime is 77991119939. The next prime is 77991120013.

77991119977 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63794635776 + 14196484201 = 252576^2 + 119149^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 77991119977 - 211 = 77991117929 is a prime.

It is a super-2 number, since 2×779911199772 (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not a weakly prime, because it can be changed into another prime (77991119177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38995559988 + 38995559989.

It is an arithmetic number, because the mean of its divisors is an integer number (38995559989).

Almost surely, 277991119977 is an apocalyptic number.

It is an amenable number.

77991119977 is a deficient number, since it is larger than the sum of its proper divisors (1).

77991119977 is an equidigital number, since it uses as much as digits as its factorization.

77991119977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15752961, while the sum is 67.

The spelling of 77991119977 in words is "seventy-seven billion, nine hundred ninety-one million, one hundred nineteen thousand, nine hundred seventy-seven".