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42055317681 = 3133138390823
BaseRepresentation
bin100111001010101100…
…010011100010110001
311000112220111111022120
4213022230103202301
51142112130131211
631153035224453
73016112205426
oct471254234261
9130486444276
1042055317681
11169211486a3
1281982a8129
133c72b27580
14206d545d4d
151162174d06
hex9cab138b1

42055317681 has 32 divisors (see below), whose sum is σ = 62498537472. Its totient is φ = 24979682880.

The previous prime is 42055317641. The next prime is 42055317719. The reversal of 42055317681 is 18671355024.

It is a happy number.

It is not a de Polignac number, because 42055317681 - 214 = 42055301297 is a prime.

It is a super-2 number, since 2×420553176812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42055317631) 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 in 31 ways as a sum of consecutive naturals, for example, 417636 + ... + 508458.

It is an arithmetic number, because the mean of its divisors is an integer number (1953079296).

Almost surely, 242055317681 is an apocalyptic number.

It is an amenable number.

42055317681 is a deficient number, since it is larger than the sum of its proper divisors (20443219791).

42055317681 is a wasteful number, since it uses less digits than its factorization.

42055317681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91253.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 42055317681 in words is "forty-two billion, fifty-five million, three hundred seventeen thousand, six hundred eighty-one".

Divisors: 1 3 13 31 39 93 383 403 1149 1209 4979 11873 14937 35619 90823 154349 272469 463047 1180699 2815513 3542097 8446539 34785209 36601669 104355627 109805007 452207717 1078341479 1356623151 3235024437 14018439227 42055317681