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12848885280 = 25335711192107
BaseRepresentation
bin10111111011101101…
…00110111000100000
31020011110110000001000
423331312212320200
5202303303312110
65522552112000
7633256502640
oct137566467040
936143400030
1012848885280
1154a3951760
1225a7095600
131299ca25ca
1489c670520
155030521c0
hex2fdda6e20

12848885280 has 1152 divisors, whose sum is σ = 59727144960. Its totient is φ = 2505738240.

The previous prime is 12848885213. The next prime is 12848885293. The reversal of 12848885280 is 8258884821.

12848885280 is a `hidden beast` number, since 1 + 2 + 8 + 488 + 85 + 2 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120082987 + ... + 120083093.

It is an arithmetic number, because the mean of its divisors is an integer number (51846480).

Almost surely, 212848885280 is an apocalyptic number.

12848885280 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 12848885280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29863572480).

12848885280 is an abundant number, since it is smaller than the sum of its proper divisors (46878259680).

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

12848885280 is a wasteful number, since it uses less digits than its factorization.

12848885280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

The spelling of 12848885280 in words is "twelve billion, eight hundred forty-eight million, eight hundred eighty-five thousand, two hundred eighty".