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105343466028 = 22312721690089
BaseRepresentation
bin110001000011011110…
…1011011101000101100
3101001220120022112121220
41202012331123220230
53211220411403103
6120221044023340
710416336454443
oct1420675335054
9331816275556
10105343466028
1140748705229
12184bb391b50
139c1a877468
1451549abd5a
152b183d8c53
hex1886f5ba2c

105343466028 has 24 divisors (see below), whose sum is σ = 245821099440. Its totient is φ = 35111677440.

The previous prime is 105343465999. The next prime is 105343466029. The reversal of 105343466028 is 820664343501.

It is a super-2 number, since 2×1053434660282 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105343466029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192393 + ... + 497696.

It is an arithmetic number, because the mean of its divisors is an integer number (10242545810).

Almost surely, 2105343466028 is an apocalyptic number.

It is an amenable number.

105343466028 is an abundant number, since it is smaller than the sum of its proper divisors (140477633412).

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

105343466028 is a wasteful number, since it uses less digits than its factorization.

105343466028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702817 (or 702815 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 105343466028 in words is "one hundred five billion, three hundred forty-three million, four hundred sixty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 12721 25442 38163 50884 76326 152652 690089 1380178 2070267 2760356 4140534 8281068 8778622169 17557244338 26335866507 35114488676 52671733014 105343466028