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61767042481 is a prime number
BaseRepresentation
bin111001100001100110…
…100100010110110001
312220102122120212100001
4321201212210112301
52002444330324411
644213030030001
74314434125024
oct714146442661
9186378525301
1061767042481
1124216981251
12bb797a8301
135a9487b061
142dbd42b1bb
15191794adc1
hexe619a45b1

61767042481 has 2 divisors, whose sum is σ = 61767042482. Its totient is φ = 61767042480.

The previous prime is 61767042479. The next prime is 61767042503. The reversal of 61767042481 is 18424076716.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60327219456 + 1439823025 = 245616^2 + 37945^2 .

It is a cyclic number.

It is not a de Polignac number, because 61767042481 - 21 = 61767042479 is a prime.

It is a super-2 number, since 2×617670424812 (a number of 22 digits) contains 22 as substring.

Together with 61767042479, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (61767042431) 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, 30883521240 + 30883521241.

It is an arithmetic number, because the mean of its divisors is an integer number (30883521241).

Almost surely, 261767042481 is an apocalyptic number.

It is an amenable number.

61767042481 is a deficient number, since it is larger than the sum of its proper divisors (1).

61767042481 is an equidigital number, since it uses as much as digits as its factorization.

61767042481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 61767042481 in words is "sixty-one billion, seven hundred sixty-seven million, forty-two thousand, four hundred eighty-one".