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77901938353 is a prime number
BaseRepresentation
bin100100010001101010…
…0010011111010110001
321110002010020111111001
41020203110103322301
52234020344011403
655442044522001
75425324356541
oct1104324237261
9243063214431
1077901938353
1130046682338
1213121250301
137466575315
143ab0275321
15205e1dac1d
hex1223513eb1

77901938353 has 2 divisors, whose sum is σ = 77901938354. Its totient is φ = 77901938352.

The previous prime is 77901938351. The next prime is 77901938381. The reversal of 77901938353 is 35383910977.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67263459904 + 10638478449 = 259352^2 + 103143^2 .

It is a cyclic number.

It is not a de Polignac number, because 77901938353 - 21 = 77901938351 is a prime.

It is a super-2 number, since 2×779019383532 (a number of 23 digits) contains 22 as substring.

Together with 77901938351, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 77901938294 and 77901938303.

It is not a weakly prime, because it can be changed into another prime (77901938351) 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, 38950969176 + 38950969177.

It is an arithmetic number, because the mean of its divisors is an integer number (38950969177).

Almost surely, 277901938353 is an apocalyptic number.

It is an amenable number.

77901938353 is a deficient number, since it is larger than the sum of its proper divisors (1).

77901938353 is an equidigital number, since it uses as much as digits as its factorization.

77901938353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4286520, while the sum is 55.

The spelling of 77901938353 in words is "seventy-seven billion, nine hundred one million, nine hundred thirty-eight thousand, three hundred fifty-three".