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96329426688 = 2833111774527
BaseRepresentation
bin101100110110110101…
…1100110011100000000
3100012122100210220021000
41121231223212130000
53034240313123223
6112130401532000
76650063421405
oct1315553463400
9305570726230
1096329426688
11379424a5040
1216804644000
13911221cb81
14493b7802ac
15278bd87543
hex166dae6700

96329426688 has 288 divisors, whose sum is σ = 329044101120. Its totient is φ = 27473264640.

The previous prime is 96329426591. The next prime is 96329426771. The reversal of 96329426688 is 88662492369.

96329426688 is a `hidden beast` number, since 9 + 6 + 3 + 294 + 266 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1255281 + ... + 1329807.

It is an arithmetic number, because the mean of its divisors is an integer number (1142514240).

Almost surely, 296329426688 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 96329426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164522050560).

96329426688 is an abundant number, since it is smaller than the sum of its proper divisors (232714674432).

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

96329426688 is a wasteful number, since it uses less digits than its factorization.

96329426688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74580 (or 74560 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 96329426688 in words is "ninety-six billion, three hundred twenty-nine million, four hundred twenty-six thousand, six hundred eighty-eight".