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413512417361 is a prime number
BaseRepresentation
bin1100000010001110100…
…00101100000001010001
31110112100101120021221002
412001013100230001101
523233333134323421
6513544234111345
741606136360551
oct6010720540121
91415311507832
10413512417361
1114a407a8557a
126818457b555
132ccbcc22084
141602a9d7161
15ab52d17b0b
hex604742c051

413512417361 has 2 divisors, whose sum is σ = 413512417362. Its totient is φ = 413512417360.

The previous prime is 413512417349. The next prime is 413512417391. The reversal of 413512417361 is 163714215314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252365569600 + 161146847761 = 502360^2 + 401431^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413512417361 is a prime.

It is not a weakly prime, because it can be changed into another prime (413512417391) 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 as a sum of consecutive naturals, namely, 206756208680 + 206756208681.

It is an arithmetic number, because the mean of its divisors is an integer number (206756208681).

Almost surely, 2413512417361 is an apocalyptic number.

It is an amenable number.

413512417361 is a deficient number, since it is larger than the sum of its proper divisors (1).

413512417361 is an equidigital number, since it uses as much as digits as its factorization.

413512417361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 38.

The spelling of 413512417361 in words is "four hundred thirteen billion, five hundred twelve million, four hundred seventeen thousand, three hundred sixty-one".