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63126161 = 726611949
BaseRepresentation
bin1111000011001…
…1101010010001
311101210010210222
43300303222101
5112130014121
610133002425
71364364200
oct360635221
9141703728
1063126161
11326a668a
1219183415
1310102b77
148553237
15581e0ab
hex3c33a91

63126161 has 12 divisors (see below), whose sum is σ = 73581300. Its totient is φ = 53998560.

The previous prime is 63126157. The next prime is 63126209. The reversal of 63126161 is 16162136.

63126161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50481025 + 12645136 = 7105^2 + 3556^2 .

It is not a de Polignac number, because 63126161 - 22 = 63126157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 63126161.

It is not an unprimeable number, because it can be changed into a prime (63126131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31415 + ... + 33363.

It is an arithmetic number, because the mean of its divisors is an integer number (6131775).

Almost surely, 263126161 is an apocalyptic number.

It is an amenable number.

63126161 is a deficient number, since it is larger than the sum of its proper divisors (10455139).

63126161 is a wasteful number, since it uses less digits than its factorization.

63126161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2617 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 63126161 is about 7945.1973543770. The cubic root of 63126161 is about 398.1711531247.

Adding to 63126161 its reverse (16162136), we get a palindrome (79288297).

It can be divided in two parts, 63126 and 161, that multiplied together give a triangular number (10163286 = T4508).

The spelling of 63126161 in words is "sixty-three million, one hundred twenty-six thousand, one hundred sixty-one".

Divisors: 1 7 49 661 1949 4627 13643 32389 95501 1288289 9018023 63126161