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400272730657 is a prime number
BaseRepresentation
bin1011101001100100001…
…11010010101000100001
31102021011200202112010021
411310302013102220201
523024224304340112
6503514401433441
740630063034062
oct5646207225041
91367150675107
10400272730657
11144833580a38
12656aa63b881
132b98ccac027
14155324b8569
15a62a81c907
hex5d321d2a21

400272730657 has 2 divisors, whose sum is σ = 400272730658. Its totient is φ = 400272730656.

The previous prime is 400272730621. The next prime is 400272730673. The reversal of 400272730657 is 756037272004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255392772496 + 144879958161 = 505364^2 + 380631^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400272730657 is a prime.

It is a super-2 number, since 2×4002727306572 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (400222730657) 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, 200136365328 + 200136365329.

It is an arithmetic number, because the mean of its divisors is an integer number (200136365329).

Almost surely, 2400272730657 is an apocalyptic number.

It is an amenable number.

400272730657 is a deficient number, since it is larger than the sum of its proper divisors (1).

400272730657 is an equidigital number, since it uses as much as digits as its factorization.

400272730657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 493920, while the sum is 43.

The spelling of 400272730657 in words is "four hundred billion, two hundred seventy-two million, seven hundred thirty thousand, six hundred fifty-seven".