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12048519840 = 25357373181
BaseRepresentation
bin10110011100010010…
…11101001010100000
31011002200102020001120
423032021131022200
5144133410113330
65311321332240
7604400505000
oct131611351240
934080366046
1012048519840
115123091315
122403037080
1311a02222a6
1482424c000
154a7b56c10
hex2ce25d2a0

12048519840 has 192 divisors, whose sum is σ = 44260473600. Its totient is φ = 2753909760.

The previous prime is 12048519809. The next prime is 12048519907. The reversal of 12048519840 is 4891584021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12048519792 and 12048519801.

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, 128050 + ... + 201230.

It is an arithmetic number, because the mean of its divisors is an integer number (230523300).

Almost surely, 212048519840 is an apocalyptic number.

12048519840 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 12048519840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22130236800).

12048519840 is an abundant number, since it is smaller than the sum of its proper divisors (32211953760).

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

12048519840 is an equidigital number, since it uses as much as digits as its factorization.

12048519840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73220 (or 73198 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 12048519840 in words is "twelve billion, forty-eight million, five hundred nineteen thousand, eight hundred forty".