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401401628893 is a prime number
BaseRepresentation
bin1011101011101010110…
…01101100100011011101
31102101002100222111101001
411311311121230203131
523034032304111033
6504222405550301
741000051356426
oct5656531544335
91371070874331
10401401628893
11145262833991
1265964715391
132bb0cb3a355
14155dc3ba64d
15a6949b0e7d
hex5d7566c8dd

401401628893 has 2 divisors, whose sum is σ = 401401628894. Its totient is φ = 401401628892.

The previous prime is 401401628839. The next prime is 401401628941. The reversal of 401401628893 is 398826104104.

Together with previous prime (401401628839) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 347602218084 + 53799410809 = 589578^2 + 231947^2 .

It is a cyclic number.

It is not a de Polignac number, because 401401628893 - 213 = 401401620701 is a prime.

It is a super-3 number, since 3×4014016288933 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401401626893) 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, 200700814446 + 200700814447.

It is an arithmetic number, because the mean of its divisors is an integer number (200700814447).

Almost surely, 2401401628893 is an apocalyptic number.

It is an amenable number.

401401628893 is a deficient number, since it is larger than the sum of its proper divisors (1).

401401628893 is an equidigital number, since it uses as much as digits as its factorization.

401401628893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 401401628893 in words is "four hundred one billion, four hundred one million, six hundred twenty-eight thousand, eight hundred ninety-three".