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2105704438006 = 21327187744997
BaseRepresentation
bin11110101001000101110…
…000111101100011110110
321110022012011101200001111
4132221011300331203312
5233444440314004011
64251203001545234
7305063214255121
oct36510560754366
97408164350044
102105704438006
1174202a294664
122a01241a521a
1312374ab36b00
1473cb93833b8
1539b92e1b121
hex1ea45c3d8f6

2105704438006 has 24 divisors (see below), whose sum is σ = 3468384280944. Its totient is φ = 958175356320.

The previous prime is 2105704437983. The next prime is 2105704438007. The reversal of 2105704438006 is 6008344075012.

It is a self number, because there is not a number n which added to its sum of digits gives 2105704438006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105704438007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43848501 + ... + 43896496.

It is an arithmetic number, because the mean of its divisors is an integer number (144516011706).

Almost surely, 22105704438006 is an apocalyptic number.

2105704438006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2105704438006 is a deficient number, since it is larger than the sum of its proper divisors (1362679842938).

2105704438006 is a wasteful number, since it uses less digits than its factorization.

2105704438006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87745096 (or 87745083 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 2105704438006 in words is "two trillion, one hundred five billion, seven hundred four million, four hundred thirty-eight thousand, six".

Divisors: 1 2 13 26 71 142 169 338 923 1846 11999 23998 87744997 175489994 1140684961 2281369922 6229894787 12459789574 14828904493 29657808986 80988632231 161977264462 1052852219003 2105704438006