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12047331744 = 2533719310321
BaseRepresentation
bin10110011100001001…
…11011000110100000
31011002121011212022000
423032010323012200
5144133104103434
65311240044000
7604354426110
oct131604730640
934077155260
1012047331744
11512244a718
122402763600
13119cbc7586
1482401d040
154a79beb99
hex2ce13b1a0

12047331744 has 192 divisors, whose sum is σ = 40369754880. Its totient is φ = 3423928320.

The previous prime is 12047331733. The next prime is 12047331773. The reversal of 12047331744 is 44713374021.

12047331744 is a `hidden beast` number, since 12 + 0 + 473 + 3 + 174 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12047331699 and 12047331708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162104 + ... + 1172424.

It is an arithmetic number, because the mean of its divisors is an integer number (210259140).

Almost surely, 212047331744 is an apocalyptic number.

12047331744 is a gapful number since it is divisible by the number (14) 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 12047331744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184877440).

12047331744 is an abundant number, since it is smaller than the sum of its proper divisors (28322423136).

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

12047331744 is a wasteful number, since it uses less digits than its factorization.

12047331744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540 (or 10526 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 12047331744 in words is "twelve billion, forty-seven million, three hundred thirty-one thousand, seven hundred forty-four".