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406266766057 is a prime number
BaseRepresentation
bin1011110100101110110…
…00101110001011101001
31102211122102121001220101
411322113120232023221
523124013243003212
6510345242425401
741231445350665
oct5722730561351
91384572531811
10406266766057
11147329aa84a9
12668a1b02261
132c406a69c39
14159405b38a5
15a87bb78157
hex5e9762e2e9

406266766057 has 2 divisors, whose sum is σ = 406266766058. Its totient is φ = 406266766056.

The previous prime is 406266766007. The next prime is 406266766123. The reversal of 406266766057 is 750667662604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260442832896 + 145823933161 = 510336^2 + 381869^2 .

It is a cyclic number.

It is not a de Polignac number, because 406266766057 - 227 = 406132548329 is a prime.

It is a super-3 number, since 3×4062667660573 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406266765989 and 406266766007.

It is not a weakly prime, because it can be changed into another prime (406266766007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203133383028 + 203133383029.

It is an arithmetic number, because the mean of its divisors is an integer number (203133383029).

Almost surely, 2406266766057 is an apocalyptic number.

It is an amenable number.

406266766057 is a deficient number, since it is larger than the sum of its proper divisors (1).

406266766057 is an equidigital number, since it uses as much as digits as its factorization.

406266766057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 406266766057 in words is "four hundred six billion, two hundred sixty-six million, seven hundred sixty-six thousand, fifty-seven".