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12109673664 = 26351171997
BaseRepresentation
bin10110100011100101…
…01111010011000000
31011020221111011100000
423101302233103000
5144300034024124
65321344200000
7606042346014
oct132162572300
934227434300
1012109673664
115154660070
12241b609000
1311acab449a
1482c40a544
154ad1d66c9
hex2d1caf4c0

12109673664 has 336 divisors, whose sum is σ = 39861110016. Its totient is φ = 3614284800.

The previous prime is 12109673629. The next prime is 12109673669. The reversal of 12109673664 is 46637690121.

It is not an unprimeable number, because it can be changed into a prime (12109673669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12145614 + ... + 12146610.

It is an arithmetic number, because the mean of its divisors is an integer number (118634256).

Almost surely, 212109673664 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 12109673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19930555008).

12109673664 is an abundant number, since it is smaller than the sum of its proper divisors (27751436352).

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

12109673664 is an equidigital number, since it uses as much as digits as its factorization.

12109673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12109673664 in words is "twelve billion, one hundred nine million, six hundred seventy-three thousand, six hundred sixty-four".