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137442820049 is a prime number
BaseRepresentation
bin1000000000000000111…
…0101111111111010001
3111010202121220200022122
42000000032233333101
54222440330220144
6143050152344025
712633650460113
oct2000016577721
9433677820278
10137442820049
115331a985a87
12227793a5015
13cc64b62372
14691bb753b3
15389649d7ee
hex20003affd1

137442820049 has 2 divisors, whose sum is σ = 137442820050. Its totient is φ = 137442820048.

The previous prime is 137442819947. The next prime is 137442820063. The reversal of 137442820049 is 940028244731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110104512400 + 27338307649 = 331820^2 + 165343^2 .

It is a cyclic number.

It is not a de Polignac number, because 137442820049 - 216 = 137442754513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137442819991 and 137442820009.

It is not a weakly prime, because it can be changed into another prime (137442810049) 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, 68721410024 + 68721410025.

It is an arithmetic number, because the mean of its divisors is an integer number (68721410025).

Almost surely, 2137442820049 is an apocalyptic number.

It is an amenable number.

137442820049 is a deficient number, since it is larger than the sum of its proper divisors (1).

137442820049 is an equidigital number, since it uses as much as digits as its factorization.

137442820049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 137442820049 in words is "one hundred thirty-seven billion, four hundred forty-two million, eight hundred twenty thousand, forty-nine".