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2105704438005 = 357163386331849
BaseRepresentation
bin11110101001000101110…
…000111101100011110101
321110022012011101200001110
4132221011300331203311
5233444440314004010
64251203001545233
7305063214255120
oct36510560754365
97408164350043
102105704438005
1174202a294663
122a01241a5219
1312374ab36acc
1473cb93833b7
1539b92e1b120
hex1ea45c3d8f5

2105704438005 has 64 divisors (see below), whose sum is σ = 3875177779200. Its totient is φ = 956424485376.

The previous prime is 2105704437983. The next prime is 2105704438007. The reversal of 2105704438005 is 5008344075012.

It is not a de Polignac number, because 2105704438005 - 210 = 2105704436981 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 66099321 + ... + 66131169.

It is an arithmetic number, because the mean of its divisors is an integer number (60549652800).

Almost surely, 22105704438005 is an apocalyptic number.

It is an amenable number.

2105704438005 is a deficient number, since it is larger than the sum of its proper divisors (1769473341195).

2105704438005 is a wasteful number, since it uses less digits than its factorization.

2105704438005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35890.

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 2105704438005 in words is "two trillion, one hundred five billion, seven hundred four million, four hundred thirty-eight thousand, five".

Divisors: 1 3 5 7 15 21 35 105 163 489 815 1141 2445 3423 3863 5705 11589 17115 19315 27041 31849 57945 81123 95547 135205 159245 222943 405615 477735 629669 668829 1114715 1889007 3148345 3344145 4407683 5191387 9445035 13223049 15574161 22038415 25956935 36339709 66115245 77870805 109019127 123032687 181698545 369098061 545095635 615163435 861228809 1845490305 2583686427 4306144045 12918432135 20054327981 60162983943 100271639905 140380295867 300814919715 421140887601 701901479335 2105704438005