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77753499041 is a prime number
BaseRepresentation
bin100100001101001111…
…0000011110110100001
321102200202221000000202
41020122132003312201
52233214343432131
655415223154545
75421542560061
oct1103236036641
9242622830022
1077753499041
112aa7a906719
121309b5a5a55
1374418a18ca
143a986753a1
152051168bcb
hex121a783da1

77753499041 has 2 divisors, whose sum is σ = 77753499042. Its totient is φ = 77753499040.

The previous prime is 77753499023. The next prime is 77753499079. The reversal of 77753499041 is 14099435777.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77504332816 + 249166225 = 278396^2 + 15785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77753499041 is a prime.

It is a super-2 number, since 2×777534990412 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (77753499541) 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, 38876749520 + 38876749521.

It is an arithmetic number, because the mean of its divisors is an integer number (38876749521).

Almost surely, 277753499041 is an apocalyptic number.

It is an amenable number.

77753499041 is a deficient number, since it is larger than the sum of its proper divisors (1).

77753499041 is an equidigital number, since it uses as much as digits as its factorization.

77753499041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6667920, while the sum is 56.

The spelling of 77753499041 in words is "seventy-seven billion, seven hundred fifty-three million, four hundred ninety-nine thousand, forty-one".