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41182822405 = 517539141581
BaseRepresentation
bin100110010110101100…
…000000000000000101
310221022002202010210201
4212112230000000011
51133320300304110
630530310450501
72655356133424
oct462654000005
9127262663721
1041182822405
11165136a201a
127b94063a31
133b6414118a
141dc97092bb
15111077cb3a
hex996b00005

41182822405 has 16 divisors (see below), whose sum is σ = 53313706224. Its totient is φ = 30423178240.

The previous prime is 41182822357. The next prime is 41182822423. The reversal of 41182822405 is 50422828114.

It can be written as a sum of positive squares in 8 ways, for example, as 8552735361 + 32630087044 = 92481^2 + 180638^2 .

It is not a de Polignac number, because 41182822405 - 27 = 41182822277 is a prime.

It is a super-2 number, since 2×411828224052 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4566286 + ... + 4575295.

It is an arithmetic number, because the mean of its divisors is an integer number (3332106639).

Almost surely, 241182822405 is an apocalyptic number.

It is an amenable number.

41182822405 is a deficient number, since it is larger than the sum of its proper divisors (12130883819).

41182822405 is a wasteful number, since it uses less digits than its factorization.

41182822405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141656.

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 41182822405 in words is "forty-one billion, one hundred eighty-two million, eight hundred twenty-two thousand, four hundred five".

Divisors: 1 5 17 53 85 265 901 4505 9141581 45707905 155406877 484503793 777034385 2422518965 8236564481 41182822405