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89227395072 = 21733191327
BaseRepresentation
bin101001100011001011…
…1100000000000000000
322112022102002022102000
41103012113200000000
52430214203120242
6104553540424000
76306065226024
oct1230627400000
9275272068360
1089227395072
11349285a1622
12153620a8000
13854ca417ba
144466464384
1524c3616a4c
hex14c65e0000

89227395072 has 288 divisors, whose sum is σ = 278500723200. Its totient is φ = 28155838464.

The previous prime is 89227395031. The next prime is 89227395079. The reversal of 89227395072 is 27059372298.

89227395072 is a `hidden beast` number, since 89 + 2 + 27 + 39 + 507 + 2 = 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 (89227395079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67239273 + ... + 67240599.

It is an arithmetic number, because the mean of its divisors is an integer number (967016400).

Almost surely, 289227395072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89227395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139250361600).

89227395072 is an abundant number, since it is smaller than the sum of its proper divisors (189273328128).

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

89227395072 is an equidigital number, since it uses as much as digits as its factorization.

89227395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 89227395072 in words is "eighty-nine billion, two hundred twenty-seven million, three hundred ninety-five thousand, seventy-two".