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416704765681 is a prime number
BaseRepresentation
bin1100001000001011000…
…10100001111011110001
31110211120212112101120001
412010011202201323301
523311402410000211
6515233113150001
742051222031531
oct6040542417361
91424525471501
10416704765681
111507a5a82076
12689156bb301
13303ab411b89
141625098d4c1
15ac8d203ac1
hex61058a1ef1

416704765681 has 2 divisors, whose sum is σ = 416704765682. Its totient is φ = 416704765680.

The previous prime is 416704765639. The next prime is 416704765717. The reversal of 416704765681 is 186567407614.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 377191277281 + 39513488400 = 614159^2 + 198780^2 .

It is a cyclic number.

It is not a de Polignac number, because 416704765681 - 231 = 414557282033 is a prime.

It is a super-2 number, since 2×4167047656812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (416704765601) 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 as a sum of consecutive naturals, namely, 208352382840 + 208352382841.

It is an arithmetic number, because the mean of its divisors is an integer number (208352382841).

Almost surely, 2416704765681 is an apocalyptic number.

It is an amenable number.

416704765681 is a deficient number, since it is larger than the sum of its proper divisors (1).

416704765681 is an equidigital number, since it uses as much as digits as its factorization.

416704765681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 416704765681 in words is "four hundred sixteen billion, seven hundred four million, seven hundred sixty-five thousand, six hundred eighty-one".