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12482822016 = 27327172337107
BaseRepresentation
bin10111010000000100…
…01011111110000000
31012012221122001122100
423220002023332000
5201031100301031
65422354110400
7621223144050
oct135002137600
935187561570
1012482822016
115326255a35
12250457b400
13123c1b3b22
14865bc1560
154d0d43de6
hex2e808bf80

12482822016 has 768 divisors, whose sum is σ = 47018050560. Its totient is φ = 3094806528.

The previous prime is 12482821991. The next prime is 12482822069. The reversal of 12482822016 is 61022828421.

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 95 ways as a sum of consecutive naturals, for example, 116661835 + ... + 116661941.

It is an arithmetic number, because the mean of its divisors is an integer number (61221420).

Almost surely, 212482822016 is an apocalyptic number.

12482822016 is a gapful number since it is divisible by the number (16) 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 12482822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23509025280).

12482822016 is an abundant number, since it is smaller than the sum of its proper divisors (34535228544).

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

12482822016 is a wasteful number, since it uses less digits than its factorization.

12482822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12482822016 in words is "twelve billion, four hundred eighty-two million, eight hundred twenty-two thousand, sixteen".