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61072737149 is a prime number
BaseRepresentation
bin111000111000001110…
…000000001101111101
312211122021010111110202
4320320032000031331
52000034110042044
644020104413245
74261303462154
oct707016001575
9184567114422
1061072737149
112399aa71396
12ba05177225
1359b3a839b8
142d5513659b
1518c6a00c4e
hexe3838037d

61072737149 has 2 divisors, whose sum is σ = 61072737150. Its totient is φ = 61072737148.

The previous prime is 61072737139. The next prime is 61072737151. The reversal of 61072737149 is 94173727016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50977511524 + 10095225625 = 225782^2 + 100475^2 .

It is a cyclic number.

It is not a de Polignac number, because 61072737149 - 224 = 61055959933 is a prime.

It is a Sophie Germain prime.

Together with 61072737151, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61072737119) 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, 30536368574 + 30536368575.

It is an arithmetic number, because the mean of its divisors is an integer number (30536368575).

Almost surely, 261072737149 is an apocalyptic number.

It is an amenable number.

61072737149 is a deficient number, since it is larger than the sum of its proper divisors (1).

61072737149 is an equidigital number, since it uses as much as digits as its factorization.

61072737149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 444528, while the sum is 47.

The spelling of 61072737149 in words is "sixty-one billion, seventy-two million, seven hundred thirty-seven thousand, one hundred forty-nine".