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12019445856 = 2532113741261
BaseRepresentation
bin10110011000110101…
…00011000001100000
31011000122201010001100
423030122203001200
5144103434231411
65304402234400
7603565414125
oct131432430140
934018633040
1012019445856
115108733630
1223b5355a00
1311971b2952
1482044074c
154a5312456
hex2cc6a3060

12019445856 has 432 divisors, whose sum is σ = 39895665264. Its totient is φ = 3400704000.

The previous prime is 12019445849. The next prime is 12019445863. The reversal of 12019445856 is 65854491021.

12019445856 is a `hidden beast` number, since 1 + 2 + 0 + 194 + 458 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12019445849) and next prime (12019445863).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 197040066 + ... + 197040126.

It is an arithmetic number, because the mean of its divisors is an integer number (92351077).

Almost surely, 212019445856 is an apocalyptic number.

12019445856 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 12019445856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19947832632).

12019445856 is an abundant number, since it is smaller than the sum of its proper divisors (27876219408).

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

12019445856 is a wasteful number, since it uses less digits than its factorization.

12019445856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 12019445856 in words is "twelve billion, nineteen million, four hundred forty-five thousand, eight hundred fifty-six".