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63792110041 = 112229612
BaseRepresentation
bin111011011010010011…
…100101100111011001
320002122210002221210021
4323122103211213121
52021121240010131
645150010150441
74415553663052
oct733223454731
9202583087707
1063792110041
1125065a8a500
1210443a22421
13602829129a
14313236d729
1519d5610e11
hexeda4e59d9

63792110041 has 9 divisors (see below), whose sum is σ = 70121654239. Its totient is φ = 57990301600.

The previous prime is 63792110029. The next prime is 63792110047. The reversal of 63792110041 is 14001129736.

The square root of 63792110041 is 252571.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44091180441 + 19700929600 = 209979^2 + 140360^2 .

It is not a de Polignac number, because 63792110041 - 29 = 63792109529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 63792109979 and 63792110006.

It is not an unprimeable number, because it can be changed into a prime (63792110047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2766801 + ... + 2789761.

Almost surely, 263792110041 is an apocalyptic number.

63792110041 is the 252571-st square number.

63792110041 is the 126286-th centered octagonal number.

It is an amenable number.

63792110041 is a deficient number, since it is larger than the sum of its proper divisors (6329544198).

63792110041 is an frugal number, since it uses more digits than its factorization.

63792110041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45944 (or 22972 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

Adding to 63792110041 its reverse (14001129736), we get a palindrome (77793239777).

The spelling of 63792110041 in words is "sixty-three billion, seven hundred ninety-two million, one hundred ten thousand, forty-one".

Divisors: 1 11 121 22961 252571 2778281 527207521 5799282731 63792110041