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401337737681 is a prime number
BaseRepresentation
bin1011101011100011001…
…01111110000111010001
31102100220220202111002212
411311301211332013101
523033414430101211
6504212204321505
740665344324606
oct5656145760721
91370826674085
10401337737681
1114522a765531
1265947243295
132bacc82a1ba
14155d3b086ad
15a68e09038b
hex5d7197e1d1

401337737681 has 2 divisors, whose sum is σ = 401337737682. Its totient is φ = 401337737680.

The previous prime is 401337737677. The next prime is 401337737777. The reversal of 401337737681 is 186737733104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 386624047681 + 14713690000 = 621791^2 + 121300^2 .

It is a cyclic number.

It is not a de Polignac number, because 401337737681 - 22 = 401337737677 is a prime.

It is a super-2 number, since 2×4013377376812 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (401337739681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200668868840 + 200668868841.

It is an arithmetic number, because the mean of its divisors is an integer number (200668868841).

Almost surely, 2401337737681 is an apocalyptic number.

It is an amenable number.

401337737681 is a deficient number, since it is larger than the sum of its proper divisors (1).

401337737681 is an equidigital number, since it uses as much as digits as its factorization.

401337737681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1778112, while the sum is 50.

The spelling of 401337737681 in words is "four hundred one billion, three hundred thirty-seven million, seven hundred thirty-seven thousand, six hundred eighty-one".