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96088341888 = 27327112197173
BaseRepresentation
bin101100101111101001…
…1111011110110000000
3100012000120011112002100
41121133103323312000
53033242103420023
6112050430350400
76641105300310
oct1313723736600
9305016145070
1096088341888
1137829400500
121675795b400
1390a42ac346
144917745440
152775b14c43
hex165f4fbd80

96088341888 has 1152 divisors, whose sum is σ = 375854169600. Its totient is φ = 22992076800.

The previous prime is 96088341887. The next prime is 96088341893. The reversal of 96088341888 is 88814388069.

96088341888 is a `hidden beast` number, since 9 + 60 + 8 + 83 + 418 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96088341887) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1316278620 + ... + 1316278692.

It is an arithmetic number, because the mean of its divisors is an integer number (326262300).

Almost surely, 296088341888 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 96088341888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187927084800).

96088341888 is an abundant number, since it is smaller than the sum of its proper divisors (279765827712).

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

96088341888 is a wasteful number, since it uses less digits than its factorization.

96088341888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 96088341888 in words is "ninety-six billion, eighty-eight million, three hundred forty-one thousand, eight hundred eighty-eight".