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12483838260000 = 25355431414347
BaseRepresentation
bin1011010110101001111010…
…1111101011001100100000
31122012102222011010100200000
42311222132233223030200
53114013400043310000
642314555055100000
72425633102244352
oct265523657531440
948172864110600
1012483838260000
113a83403276888
121497550211600
136c72b44049a3
143123145ab0d2
15169aeec60000
hexb5a9ebeb320

12483838260000 has 2880 divisors, whose sum is σ = 50837729918976. Its totient is φ = 3004646400000.

The previous prime is 12483838259941. The next prime is 12483838260017. The reversal of 12483838260000 is 6283838421.

12483838260000 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 3 + 8 + 38 + 2 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 265613579977 + ... + 265613580023.

Almost surely, 212483838260000 is an apocalyptic number.

12483838260000 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 12483838260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25418864959488).

12483838260000 is an abundant number, since it is smaller than the sum of its proper divisors (38353891658976).

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

12483838260000 is an equidigital number, since it uses as much as digits as its factorization.

12483838260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12483838260000 in words is "twelve trillion, four hundred eighty-three billion, eight hundred thirty-eight million, two hundred sixty thousand".