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286134474912 = 253111323231241
BaseRepresentation
bin1000010100111101111…
…00011001100010100000
31000100120012111101001220
410022132330121202200
514142000411144122
6335240502455040
726446451623056
oct4123674314240
91010505441056
10286134474912
111003924a7060
1247555a34480
1320ca03442b0
14dbc58721d6
15769a29025c
hex429ef198a0

286134474912 has 864 divisors, whose sum is σ = 976412864448. Its totient is φ = 72281088000.

The previous prime is 286134474911. The next prime is 286134474947. The reversal of 286134474912 is 219474431682.

It is not an unprimeable number, because it can be changed into a prime (286134474911) 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 143 ways as a sum of consecutive naturals, for example, 6978889612 + ... + 6978889652.

It is an arithmetic number, because the mean of its divisors is an integer number (1130107482).

Almost surely, 2286134474912 is an apocalyptic number.

286134474912 is a gapful number since it is divisible by the number (22) 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 286134474912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488206432224).

286134474912 is an abundant number, since it is smaller than the sum of its proper divisors (690278389536).

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

286134474912 is a wasteful number, since it uses less digits than its factorization.

286134474912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 124 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 286134474912 in words is "two hundred eighty-six billion, one hundred thirty-four million, four hundred seventy-four thousand, nine hundred twelve".