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89286831360 = 28355287059
BaseRepresentation
bin101001100100111101…
…0001110110100000000
322112110112220222200000
41103021322032310000
52430324412100420
6105003502400000
76310416354456
oct1231172166400
9275415828600
1089286831360
11349590a7a21
1215379b90000
13855c151cbc
1444702d69d6
1524c8957690
hex14c9e8ed00

89286831360 has 216 divisors, whose sum is σ = 320365849440. Its totient is φ = 23809738752.

The previous prime is 89286831349. The next prime is 89286831379. The reversal of 89286831360 is 6313868298.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 89286831297 and 89286831306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167511 + ... + 454569.

Almost surely, 289286831360 is an apocalyptic number.

89286831360 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 89286831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160182924720).

89286831360 is an abundant number, since it is smaller than the sum of its proper divisors (231079018080).

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

89286831360 is an equidigital number, since it uses as much as digits as its factorization.

89286831360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287095 (or 287069 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 89286831360 in words is "eighty-nine billion, two hundred eighty-six million, eight hundred thirty-one thousand, three hundred sixty".