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27071641401 = 3723199281653
BaseRepresentation
bin11001001101100110…
…000111011100111001
32120212200001212120020
4121031212013130321
5420420320011101
620234143121053
71645601104140
oct311546073471
976780055506
1027071641401
1110532265962
1252b62a3189
1327257a552c
14144b570757
15a869d7136
hex64d987739

27071641401 has 32 divisors (see below), whose sum is σ = 43262054400. Its totient is φ = 14722513344.

The previous prime is 27071641369. The next prime is 27071641463. The reversal of 27071641401 is 10414617072.

It is not a de Polignac number, because 27071641401 - 25 = 27071641369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27071646401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44710 + ... + 236943.

It is an arithmetic number, because the mean of its divisors is an integer number (1351939200).

Almost surely, 227071641401 is an apocalyptic number.

27071641401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27071641401 is a deficient number, since it is larger than the sum of its proper divisors (16190412999).

27071641401 is a wasteful number, since it uses less digits than its factorization.

27071641401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281885.

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 27071641401 in words is "twenty-seven billion, seventy-one million, six hundred forty-one thousand, four hundred one".

Divisors: 1 3 7 21 23 69 161 199 483 597 1393 4179 4577 13731 32039 96117 281653 844959 1971571 5914713 6478019 19434057 45346133 56048947 136038399 168146841 392342629 1177027887 1289125781 3867377343 9023880467 27071641401