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9048400729 is a prime number
BaseRepresentation
bin10000110110101001…
…11010001101011001
3212100121011101022221
420123110322031121
5122012342310404
64053510344041
7440141065024
oct103324721531
925317141287
109048400729
11392364a435
12190635b021
13b127c8794
1461ba141bb
1537e58c954
hex21b53a359

9048400729 has 2 divisors, whose sum is σ = 9048400730. Its totient is φ = 9048400728.

The previous prime is 9048400687. The next prime is 9048400763. The reversal of 9048400729 is 9270048409.

9048400729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7547613129 + 1500787600 = 86877^2 + 38740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9048400729 is a prime.

It is not a weakly prime, because it can be changed into another prime (9048400769) 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, 4524200364 + 4524200365.

It is an arithmetic number, because the mean of its divisors is an integer number (4524200365).

Almost surely, 29048400729 is an apocalyptic number.

It is an amenable number.

9048400729 is a deficient number, since it is larger than the sum of its proper divisors (1).

9048400729 is an equidigital number, since it uses as much as digits as its factorization.

9048400729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 9048400729 is about 95123.0819990606. The cubic root of 9048400729 is about 2083.8059576486.

The spelling of 9048400729 in words is "nine billion, forty-eight million, four hundred thousand, seven hundred twenty-nine".