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406362682741 is a prime number
BaseRepresentation
bin1011110100111010001…
…10100111010101110101
31102211220010002010212011
411322131012213111311
523124212321321431
6510402550324221
741234021545321
oct5723506472565
91384803063764
10406362682741
11147379160094
126690a059671
132c4208b0c82
141594d220981
15a8852c2cb1
hex5e9d1a7575

406362682741 has 2 divisors, whose sum is σ = 406362682742. Its totient is φ = 406362682740.

The previous prime is 406362682577. The next prime is 406362682777. The reversal of 406362682741 is 147286263604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405668360241 + 694322500 = 636921^2 + 26350^2 .

It is a cyclic number.

It is not a de Polignac number, because 406362682741 - 211 = 406362680693 is a prime.

It is a super-3 number, since 3×4063626827413 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406362689741) 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, 203181341370 + 203181341371.

It is an arithmetic number, because the mean of its divisors is an integer number (203181341371).

Almost surely, 2406362682741 is an apocalyptic number.

It is an amenable number.

406362682741 is a deficient number, since it is larger than the sum of its proper divisors (1).

406362682741 is an equidigital number, since it uses as much as digits as its factorization.

406362682741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 406362682741 in words is "four hundred six billion, three hundred sixty-two million, six hundred eighty-two thousand, seven hundred forty-one".