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63416105041 = 192175667881
BaseRepresentation
bin111011000011111001…
…001111100001010001
320001200120120220220011
4323003321033201101
52014334010330131
645044415114521
74403336666422
oct730371174121
9201616526804
1063416105041
1124992813373
1210359b12a41
135c98401613
1430d8453649
1519b25dc0b1
hexec3e4f851

63416105041 has 6 divisors (see below), whose sum is σ = 66929463042. Its totient is φ = 60078414960.

The previous prime is 63416104993. The next prime is 63416105089. The reversal of 63416105041 is 14050161436.

It is an interprime number because it is at equal distance from previous prime (63416104993) and next prime (63416105089).

It can be written as a sum of positive squares in only one way, i.e., 58079072016 + 5337033025 = 240996^2 + 73055^2 .

It is not a de Polignac number, because 63416105041 - 29 = 63416104529 is a prime.

It is a super-2 number, since 2×634161050412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63416104994 and 63416105012.

It is not an unprimeable number, because it can be changed into a prime (63416106041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87833580 + ... + 87834301.

It is an arithmetic number, because the mean of its divisors is an integer number (11154910507).

Almost surely, 263416105041 is an apocalyptic number.

It is an amenable number.

63416105041 is a deficient number, since it is larger than the sum of its proper divisors (3513358001).

63416105041 is a wasteful number, since it uses less digits than its factorization.

63416105041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175667919 (or 175667900 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 63416105041 its reverse (14050161436), we get a palindrome (77466266477).

The spelling of 63416105041 in words is "sixty-three billion, four hundred sixteen million, one hundred five thousand, forty-one".

Divisors: 1 19 361 175667881 3337689739 63416105041