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61451981441 is a prime number
BaseRepresentation
bin111001001110110100…
…101101001010000001
312212121200202002211122
4321032310231022001
52001323201401231
644121453122025
74303560136514
oct711664551201
9185550662748
1061451981441
1124075050224
12bab0189315
135a44508bc6
142d8d656d7b
1518e9e6477b
hexe4ed2d281

61451981441 has 2 divisors, whose sum is σ = 61451981442. Its totient is φ = 61451981440.

The previous prime is 61451981401. The next prime is 61451981443. The reversal of 61451981441 is 14418915416.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54613353025 + 6838628416 = 233695^2 + 82696^2 .

It is a cyclic number.

It is not a de Polignac number, because 61451981441 - 26 = 61451981377 is a prime.

Together with 61451981443, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 61451981392 and 61451981401.

It is not a weakly prime, because it can be changed into another prime (61451981443) 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, 30725990720 + 30725990721.

It is an arithmetic number, because the mean of its divisors is an integer number (30725990721).

Almost surely, 261451981441 is an apocalyptic number.

It is an amenable number.

61451981441 is a deficient number, since it is larger than the sum of its proper divisors (1).

61451981441 is an equidigital number, since it uses as much as digits as its factorization.

61451981441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 138240, while the sum is 44.

The spelling of 61451981441 in words is "sixty-one billion, four hundred fifty-one million, nine hundred eighty-one thousand, four hundred forty-one".