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12463880832 = 2734131931157
BaseRepresentation
bin10111001101110011…
…11011101010000000
31012011121222202020000
423212321323222000
5201011223141312
65420440120000
7620603144664
oct134671735200
935147882200
1012463880832
115316599167
1224ba166000
1312382b1620
148634908a4
154ce351adc
hex2e6e7ba80

12463880832 has 640 divisors, whose sum is σ = 43680806400. Its totient is φ = 3493601280.

The previous prime is 12463880809. The next prime is 12463880873. The reversal of 12463880832 is 23808836421.

12463880832 is a `hidden beast` number, since 1 + 2 + 4 + 638 + 8 + 0 + 8 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79387698 + ... + 79387854.

It is an arithmetic number, because the mean of its divisors is an integer number (68251260).

Almost surely, 212463880832 is an apocalyptic number.

12463880832 is a gapful number since it is divisible by the number (12) 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 12463880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840403200).

12463880832 is an abundant number, since it is smaller than the sum of its proper divisors (31216925568).

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

12463880832 is a wasteful number, since it uses less digits than its factorization.

12463880832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

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

The spelling of 12463880832 in words is "twelve billion, four hundred sixty-three million, eight hundred eighty thousand, eight hundred thirty-two".