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10029790049 is a prime number
BaseRepresentation
bin10010101011101001…
…00111001101100001
3221212222211010101112
421111310213031201
5131020111240144
64335125113105
7503355544256
oct112564471541
927788733345
1010029790049
114287611794
121b3ab58795
13c3ac1aa16
146b20b942d
153da7e499e
hex255d27361

10029790049 has 2 divisors, whose sum is σ = 10029790050. Its totient is φ = 10029790048.

The previous prime is 10029790031. The next prime is 10029790097. The reversal of 10029790049 is 94009792001.

It is a happy number.

10029790049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9971420449 + 58369600 = 99857^2 + 7640^2 .

It is a cyclic number.

It is not a de Polignac number, because 10029790049 - 28 = 10029789793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10029789988 and 10029790015.

It is not a weakly prime, because it can be changed into another prime (10029790249) 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, 5014895024 + 5014895025.

It is an arithmetic number, because the mean of its divisors is an integer number (5014895025).

Almost surely, 210029790049 is an apocalyptic number.

It is an amenable number.

10029790049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029790049 is an equidigital number, since it uses as much as digits as its factorization.

10029790049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 41.

The spelling of 10029790049 in words is "ten billion, twenty-nine million, seven hundred ninety thousand, forty-nine".