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12868551082080 = 253352325631061
BaseRepresentation
bin1011101101000011000101…
…1010101000000001100000
31200120012222110011121221000
42323100301122220001200
53141314243034111310
643211421502032000
72465502456261501
oct273206132500140
950505873147830
1012868551082080
114111581670141
12153a017878600
13724664868405
14326bac352ba8
15174b195194c0
hexbb4316a8060

12868551082080 has 288 divisors, whose sum is σ = 47083336564320. Its totient is φ = 3282412446720.

The previous prime is 12868551081973. The next prime is 12868551082087. The reversal of 12868551082080 is 8028015586821.

12868551082080 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 8 + 551 + 0 + 8 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12868551082087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530251 + ... + 5100810.

It is an arithmetic number, because the mean of its divisors is an integer number (163483807515).

Almost surely, 212868551082080 is an apocalyptic number.

12868551082080 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 12868551082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23541668282160).

12868551082080 is an abundant number, since it is smaller than the sum of its proper divisors (34214785482240).

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

12868551082080 is a wasteful number, since it uses less digits than its factorization.

12868551082080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631131 (or 5631094 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 12868551082080 in words is "twelve trillion, eight hundred sixty-eight billion, five hundred fifty-one million, eighty-two thousand, eighty".