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126761765641 = 722586974809
BaseRepresentation
bin111011000001110010…
…1110000101100001001
3110010012020121220011221
41312003211300230021
54034102003000031
6134122240322041
712105163141600
oct1660345605411
9403166556157
10126761765641
1149839791795
1220698313321
13bc5203a024
1461c73aaa37
15346d911a11
hex1d83970b09

126761765641 has 6 divisors (see below), whose sum is σ = 147457564170. Its totient is φ = 108652941936.

The previous prime is 126761765597. The next prime is 126761765657. The reversal of 126761765641 is 146567167621.

It can be written as a sum of positive squares in only one way, i.e., 124482658041 + 2279107600 = 352821^2 + 47740^2 .

It is not a de Polignac number, because 126761765641 - 217 = 126761634569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126761765671) 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 in 5 ways as a sum of consecutive naturals, for example, 1293487356 + ... + 1293487453.

It is an arithmetic number, because the mean of its divisors is an integer number (24576260695).

Almost surely, 2126761765641 is an apocalyptic number.

It is an amenable number.

126761765641 is a deficient number, since it is larger than the sum of its proper divisors (20695798529).

126761765641 is an equidigital number, since it uses as much as digits as its factorization.

126761765641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586974823 (or 2586974816 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The spelling of 126761765641 in words is "one hundred twenty-six billion, seven hundred sixty-one million, seven hundred sixty-five thousand, six hundred forty-one".

Divisors: 1 7 49 2586974809 18108823663 126761765641