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77135741381 is a prime number
BaseRepresentation
bin100011111010110100…
…1100000000111000101
321101002201111122211102
41013311221200013011
52230433222211011
655234034345445
75400331661246
oct1076551400705
9241081448742
1077135741381
112a79312a1a6
1212b4872b285
1373738c942a
143a3a5c8ccd
152016cde73b
hex11f5a601c5

77135741381 has 2 divisors, whose sum is σ = 77135741382. Its totient is φ = 77135741380.

The previous prime is 77135741329. The next prime is 77135741383. The reversal of 77135741381 is 18314753177.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75382644481 + 1753096900 = 274559^2 + 41870^2 .

It is a cyclic number.

It is not a de Polignac number, because 77135741381 - 214 = 77135724997 is a prime.

It is a super-2 number, since 2×771357413812 (a number of 23 digits) contains 22 as substring.

Together with 77135741383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77135741383) 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, 38567870690 + 38567870691.

It is an arithmetic number, because the mean of its divisors is an integer number (38567870691).

Almost surely, 277135741381 is an apocalyptic number.

It is an amenable number.

77135741381 is a deficient number, since it is larger than the sum of its proper divisors (1).

77135741381 is an equidigital number, since it uses as much as digits as its factorization.

77135741381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 493920, while the sum is 47.

The spelling of 77135741381 in words is "seventy-seven billion, one hundred thirty-five million, seven hundred forty-one thousand, three hundred eighty-one".