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401713728673 is a prime number
BaseRepresentation
bin1011101100010000000…
…00010000110010100001
31102101220010020210210011
411312020000100302201
523040202203304143
6504313355204521
741010561232345
oct5661000206241
91371803223704
10401713728673
11145402a22094
1265a31146741
132bb5c6b368a
141562ba1d625
15a6b20aee9d
hex5d88010ca1

401713728673 has 2 divisors, whose sum is σ = 401713728674. Its totient is φ = 401713728672.

The previous prime is 401713728671. The next prime is 401713728677. The reversal of 401713728673 is 376827317104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 389117706849 + 12596021824 = 623793^2 + 112232^2 .

It is a cyclic number.

It is not a de Polignac number, because 401713728673 - 21 = 401713728671 is a prime.

It is a super-2 number, since 2×4017137286732 (a number of 24 digits) contains 22 as substring.

Together with 401713728671, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (401713728671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200856864336 + 200856864337.

It is an arithmetic number, because the mean of its divisors is an integer number (200856864337).

Almost surely, 2401713728673 is an apocalyptic number.

It is an amenable number.

401713728673 is a deficient number, since it is larger than the sum of its proper divisors (1).

401713728673 is an equidigital number, since it uses as much as digits as its factorization.

401713728673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1185408, while the sum is 49.

The spelling of 401713728673 in words is "four hundred one billion, seven hundred thirteen million, seven hundred twenty-eight thousand, six hundred seventy-three".