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84266000000 = 2756713463
BaseRepresentation
bin100111001111010100…
…1010001111010000000
322001111122100022211222
41032132221101322000
52340034044000000
6102413344454212
76042122116250
oct1163651217200
9261448308758
1084266000000
1132811a62016
12143b861a368
137c3bbab780
144115571960
1522d2c88a85
hex139ea51e80

84266000000 has 448 divisors, whose sum is σ = 258821687040. Its totient is φ = 26611200000.

The previous prime is 84265999981. The next prime is 84266000009. The reversal of 84266000000 is 66248.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 84266000000 = 6203 + 43803 = 12503 + 43503.

It is not an unprimeable number, because it can be changed into a prime (84266000009) 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 55 ways as a sum of consecutive naturals, for example, 181999769 + ... + 182000231.

It is an arithmetic number, because the mean of its divisors is an integer number (577726980).

Almost surely, 284266000000 is an apocalyptic number.

84266000000 is a gapful number since it is divisible by the number (80) 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 84266000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129410843520).

84266000000 is an abundant number, since it is smaller than the sum of its proper divisors (174555687040).

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

84266000000 is an frugal number, since it uses more digits than its factorization.

84266000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 84266000000 its reverse (66248), we get a palindrome (84266066248).

The spelling of 84266000000 in words is "eighty-four billion, two hundred sixty-six million", and thus it is an aban number.