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12848050800 = 243252131914449
BaseRepresentation
bin10111111011100110…
…11011001001110000
31020011101212121100100
423331303123021300
5202303100111200
65522522152400
7633246426024
oct137563331160
936141777310
1012848050800
1154a3431802
1225a6952700
131299a6c830
1489c4d4384
15502e39d00
hex2fdcdb270

12848050800 has 360 divisors, whose sum is σ = 50546678000. Its totient is φ = 2995937280.

The previous prime is 12848050799. The next prime is 12848050889. The reversal of 12848050800 is 805084821.

12848050800 is a `hidden beast` number, since 128 + 480 + 50 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 881976 + ... + 896424.

Almost surely, 212848050800 is an apocalyptic number.

12848050800 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 12848050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25273339000).

12848050800 is an abundant number, since it is smaller than the sum of its proper divisors (37698627200).

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

12848050800 is a wasteful number, since it uses less digits than its factorization.

12848050800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14505 (or 14491 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 12848050800 in words is "twelve billion, eight hundred forty-eight million, fifty thousand, eight hundred".