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12330231919488 = 273273310910037
BaseRepresentation
bin1011001101101101101100…
…0101111111001110000000
31121122202111001200202122100
42303123123011333032000
53104004303332410423
642120232542110400
72411554433013000
oct263333305771600
947582431622570
1012330231919488
113a2424951972a
12147182187b400
136b5974965442
14308b01c9a000
15165b0e76a343
hexb36db17f380

12330231919488 has 384 divisors, whose sum is σ = 41395306680000. Its totient is φ = 3521439387648.

The previous prime is 12330231919487. The next prime is 12330231919519. The reversal of 12330231919488 is 88491913203321.

12330231919488 is a `hidden beast` number, since 1 + 2 + 3 + 302 + 319 + 19 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330231919487) 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, 1228472806 + ... + 1228482842.

Almost surely, 212330231919488 is an apocalyptic number.

12330231919488 is a gapful number since it is divisible by the number (18) 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 12330231919488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20697653340000).

12330231919488 is an abundant number, since it is smaller than the sum of its proper divisors (29065074760512).

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

12330231919488 is a wasteful number, since it uses less digits than its factorization.

12330231919488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13187 (or 13158 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 12330231919488 in words is "twelve trillion, three hundred thirty billion, two hundred thirty-one million, nine hundred nineteen thousand, four hundred eighty-eight".