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105542550024 = 23337118854223
BaseRepresentation
bin110001001001011010…
…0111000001000001000
3101002102102221001112020
41202102310320020020
53212122343100044
6120252515044440
710424304605322
oct1422264701010
9332372831466
10105542550024
1140840021a5a
1218555ba0720
139c4cba0842
1451731d2612
152b2ab11a19
hex1892d38208

105542550024 has 32 divisors (see below), whose sum is σ = 270987630720. Its totient is φ = 34230015936.

The previous prime is 105542550023. The next prime is 105542550031. The reversal of 105542550024 is 420055245501.

It is a super-2 number, since 2×1055425500242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105542550023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59426224 + ... + 59427999.

It is an arithmetic number, because the mean of its divisors is an integer number (8468363460).

Almost surely, 2105542550024 is an apocalyptic number.

It is an amenable number.

105542550024 is an abundant number, since it is smaller than the sum of its proper divisors (165445080696).

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

105542550024 is a wasteful number, since it uses less digits than its factorization.

105542550024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118854269 (or 118854265 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

Adding to 105542550024 its reverse (420055245501), we get a palindrome (525597795525).

The spelling of 105542550024 in words is "one hundred five billion, five hundred forty-two million, five hundred fifty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 118854223 237708446 356562669 475416892 713125338 950833784 1426250676 2852501352 4397606251 8795212502 13192818753 17590425004 26385637506 35180850008 52771275012 105542550024