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89320264128 = 263217151193313
BaseRepresentation
bin101001100101111100…
…1110001000111000000
322112112212211112210200
41103023321301013000
52430411441423003
6105011055125200
76311303501214
oct1231371610700
9275485745720
1089320264128
1134975a62507
1215389213800
1385660595c4
14447491a944
1524cb85d6a3
hex14cbe711c0

89320264128 has 336 divisors, whose sum is σ = 275165856576. Its totient is φ = 27603763200.

The previous prime is 89320264069. The next prime is 89320264129. The reversal of 89320264128 is 82146202398.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89320264129) 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 47 ways as a sum of consecutive naturals, for example, 285368100 + ... + 285368412.

Almost surely, 289320264128 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 89320264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137582928288).

89320264128 is an abundant number, since it is smaller than the sum of its proper divisors (185845592448).

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

89320264128 is a wasteful number, since it uses less digits than its factorization.

89320264128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 89320264128 in words is "eighty-nine billion, three hundred twenty million, two hundred sixty-four thousand, one hundred twenty-eight".