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12189037840896 = 293743305111
BaseRepresentation
bin1011000101011111101101…
…0001010100101000000000
31121011021001000010102000010
42301113323101110220000
53044201122141402041
641531322223024520
72365425502110000
oct261277321245000
947137030112003
1012189037840896
11397a384103684
12144a39813b140
136a55628a3287
14301d49c40000
151620e8ccca16
hexb15fb454a00

12189037840896 has 200 divisors, whose sum is σ = 37882175769504. Its totient is φ = 3482581186560.

The previous prime is 12189037840873. The next prime is 12189037840907. The reversal of 12189037840896 is 69804873098121.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2035381 + ... + 5340491.

Almost surely, 212189037840896 is an apocalyptic number.

12189037840896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12189037840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941087884752).

12189037840896 is an abundant number, since it is smaller than the sum of its proper divisors (25693137928608).

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

12189037840896 is an frugal number, since it uses more digits than its factorization.

12189037840896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305160 (or 3305123 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 66.

The spelling of 12189037840896 in words is "twelve trillion, one hundred eighty-nine billion, thirty-seven million, eight hundred forty thousand, eight hundred ninety-six".