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406786906549 is a prime number
BaseRepresentation
bin1011110101101100110…
…00111001100110110101
31102212222200022221112001
411322312120321212311
523131044422002144
6510513023055301
741250362440402
oct5726630714665
91385880287461
10406786906549
11147576670781
1266a08141531
132c48a75438a
141598d6cd2a9
15a8ac66dbd4
hex5eb66399b5

406786906549 has 2 divisors, whose sum is σ = 406786906550. Its totient is φ = 406786906548.

The previous prime is 406786906523. The next prime is 406786906567. The reversal of 406786906549 is 945609687604.

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., 301558034449 + 105228872100 = 549143^2 + 324390^2 .

It is a cyclic number.

It is not a de Polignac number, because 406786906549 - 25 = 406786906517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406786906949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203393453274 + 203393453275.

It is an arithmetic number, because the mean of its divisors is an integer number (203393453275).

Almost surely, 2406786906549 is an apocalyptic number.

It is an amenable number.

406786906549 is a deficient number, since it is larger than the sum of its proper divisors (1).

406786906549 is an equidigital number, since it uses as much as digits as its factorization.

406786906549 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78382080, while the sum is 64.

The spelling of 406786906549 in words is "four hundred six billion, seven hundred eighty-six million, nine hundred six thousand, five hundred forty-nine".