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105550465064 = 23113732417219
BaseRepresentation
bin110001001001101001…
…1000100100000101000
3101002102222211011220212
41202103103010200220
53212131404340224
6120253400440252
710424432102252
oct1422323044050
9332388734825
10105550465064
1140844538710
1218558779088
139c517123b5
145174292cd2
152b2b676d0e
hex18934c4828

105550465064 has 32 divisors (see below), whose sum is σ = 221733784800. Its totient is φ = 46680793920.

The previous prime is 105550465063. The next prime is 105550465117. The reversal of 105550465064 is 460564055501.

It is a super-2 number, since 2×1055504650642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105550465063) 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, 16205354 + ... + 16211865.

It is an arithmetic number, because the mean of its divisors is an integer number (6929180775).

Almost surely, 2105550465064 is an apocalyptic number.

It is an amenable number.

105550465064 is an abundant number, since it is smaller than the sum of its proper divisors (116183319736).

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

105550465064 is a wasteful number, since it uses less digits than its factorization.

105550465064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32417273 (or 32417269 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 105550465064 in words is "one hundred five billion, five hundred fifty million, four hundred sixty-five thousand, sixty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 3256 32417219 64834438 129668876 259337752 356589409 713178818 1199437103 1426357636 2398874206 2852715272 4797748412 9595496824 13193808133 26387616266 52775232532 105550465064