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105808414422 = 236727949727
BaseRepresentation
bin110001010001010101…
…1000100011011010110
3101010002222012100220210
41202202223010123112
53213143423230142
6120335133310250
710434013453224
oct1424253043326
9333088170823
10105808414422
11409671008a7
121860b035386
139c92ca9159
14519a63bb14
152b4412b49c
hex18a2ac46d6

105808414422 has 48 divisors (see below), whose sum is σ = 217546076160. Its totient is φ = 34302586032.

The previous prime is 105808414333. The next prime is 105808414427. The reversal of 105808414422 is 224414808501.

It is a super-2 number, since 2×1058084144222 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105808414427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2102923 + ... + 2152649.

It is an arithmetic number, because the mean of its divisors is an integer number (4532209920).

Almost surely, 2105808414422 is an apocalyptic number.

105808414422 is an abundant number, since it is smaller than the sum of its proper divisors (111737661738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105808414422 is an equidigital number, since it uses as much as digits as its factorization.

105808414422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49945 (or 49878 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 105808414422 in words is "one hundred five billion, eight hundred eight million, four hundred fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 67 79 134 158 201 237 402 474 4489 5293 8978 10586 13467 15879 26934 31758 49727 99454 149181 298362 354631 709262 1063893 2127786 3331709 3928433 6663418 7856866 9995127 11785299 19990254 23570598 223224503 263205011 446449006 526410022 669673509 789615033 1339347018 1579230066 17634735737 35269471474 52904207211 105808414422