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109834220672 = 2711226632
BaseRepresentation
bin110011001001010100…
…0010011010010000000
3101111111112110111212222
41212102220103102000
53244420030030142
6122242424310212
710635536320541
oct1462250232200
9344445414788
10109834220672
1142642610700
1219353312368
13a485064a27
14545d18c4c8
152ccc79cbd2
hex1992a13480

109834220672 has 72 divisors (see below), whose sum is σ = 240600912195. Its totient is φ = 49905898240.

The previous prime is 109834220669. The next prime is 109834220681. The reversal of 109834220672 is 276022438901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 54917110336 + 54917110336 = 234344^2 + 234344^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=234344.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 41243213 + ... + 41245875.

Almost surely, 2109834220672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109834220672

109834220672 is an abundant number, since it is smaller than the sum of its proper divisors (130766691523).

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

109834220672 is an frugal number, since it uses more digits than its factorization.

109834220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 109834220672 in words is "one hundred nine billion, eight hundred thirty-four million, two hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 2663 3872 5326 7744 10652 15488 21304 29293 42608 58586 85216 117172 170432 234344 322223 340864 468688 644446 937376 1288892 1874752 2577784 3749504 5155568 7091569 10311136 14183138 20622272 28366276 41244544 56732552 78007259 113465104 156014518 226930208 312029036 453860416 624058072 858079849 907720832 1248116144 1716159698 2496232288 3432319396 4992464576 6864638792 9984929152 13729277584 27458555168 54917110336 109834220672