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42017627205 = 335387780279
BaseRepresentation
bin100111001000011100…
…100001110001000101
311000110021120121201000
4213020130201301011
51142023003032310
631145211323513
73015143636601
oct471034416105
9130407517630
1042017627205
1116901945244
128187750599
133c6808c008
142068534501
15115dbcc4c0
hex9c8721c45

42017627205 has 32 divisors (see below), whose sum is σ = 74718201600. Its totient is φ = 22403342016.

The previous prime is 42017627189. The next prime is 42017627251. The reversal of 42017627205 is 50272671024.

It is a happy number.

42017627205 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 7 + 627 + 20 + 5 = 666.

It is not a de Polignac number, because 42017627205 - 24 = 42017627189 is a prime.

It is a super-2 number, since 2×420176272052 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42017627205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483256 + ... + 563534.

It is an arithmetic number, because the mean of its divisors is an integer number (2334943800).

Almost surely, 242017627205 is an apocalyptic number.

42017627205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42017627205 is a deficient number, since it is larger than the sum of its proper divisors (32700574395).

42017627205 is a wasteful number, since it uses less digits than its factorization.

42017627205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84170 (or 84164 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 42017627205 in words is "forty-two billion, seventeen million, six hundred twenty-seven thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 135 3877 11631 19385 34893 58155 80279 104679 174465 240837 401395 523395 722511 1204185 2167533 3612555 10837665 311241683 933725049 1556208415 2801175147 4668625245 8403525441 14005875735 42017627205