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12047685063840 = 25385231273929
BaseRepresentation
bin1010111101010001000111…
…1111010001010010100000
31120122202011212221100000000
42233110101333101102200
53034342124334020330
641342344034300000
72352262603245156
oct257242177212240
946582155840000
1012047685063840
113925438155078
121426b09427600
13695126987baa
142d917aab33d6
1515d5c4443560
hexaf511fd14a0

12047685063840 has 864 divisors, whose sum is σ = 44910179758080. Its totient is φ = 3048059621376.

The previous prime is 12047685063823. The next prime is 12047685063871. The reversal of 12047685063840 is 4836058674021.

It is a happy number.

12047685063840 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 7 + 68 + 506 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3066346996 + ... + 3066350924.

It is an arithmetic number, because the mean of its divisors is an integer number (51979374720).

Almost surely, 212047685063840 is an apocalyptic number.

12047685063840 is a gapful number since it is divisible by the number (10) 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 12047685063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455089879040).

12047685063840 is an abundant number, since it is smaller than the sum of its proper divisors (32862494694240).

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

12047685063840 is an equidigital number, since it uses as much as digits as its factorization.

12047685063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 12047685063840 in words is "twelve trillion, forty-seven billion, six hundred eighty-five million, sixty-three thousand, eight hundred forty".