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12194800192 = 262318794409
BaseRepresentation
bin10110101101101110…
…11110001001000000
31011110212200000222101
423112313132021000
5144433332101232
65334024520144
7611125043221
oct132667361100
934425600871
1012194800192
115198712973
122444020054
1311c461b103
14839849248
154b58ee1e7
hex2d6dde240

12194800192 has 56 divisors (see below), whose sum is σ = 25270358400. Its totient is φ = 5827869696.

The previous prime is 12194800171. The next prime is 12194800193. The reversal of 12194800192 is 29100849121.

12194800192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12194800193) 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 7 ways as a sum of consecutive naturals, for example, 2763684 + ... + 2768092.

It is an arithmetic number, because the mean of its divisors is an integer number (451256400).

Almost surely, 212194800192 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 12194800192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12635179200).

12194800192 is an abundant number, since it is smaller than the sum of its proper divisors (13075558208).

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

12194800192 is a wasteful number, since it uses less digits than its factorization.

12194800192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323 (or 6313 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 12194800192 in words is "twelve billion, one hundred ninety-four million, eight hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 1879 3758 4409 7516 8818 15032 17636 30064 35272 43217 60128 70544 86434 101407 120256 141088 172868 202814 282176 345736 405628 691472 811256 1382944 1622512 2765888 3245024 6490048 8284511 16569022 33138044 66276088 132552176 190543753 265104352 381087506 530208704 762175012 1524350024 3048700048 6097400096 12194800192