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96385842432 = 283411422567
BaseRepresentation
bin101100111000100001…
…0110011110100000000
3100012210021222010010000
41121301002303310000
53034344233424212
6112140135040000
76651350066655
oct1316102636400
9305707863100
1096385842432
1137971328020
121681b510000
139120b13579
144945067c2c
152791ccd1dc
hex16710b3d00

96385842432 has 180 divisors, whose sum is σ = 313533624096. Its totient is φ = 29207761920.

The previous prime is 96385842419. The next prime is 96385842439. The reversal of 96385842432 is 23424858369.

96385842432 is a `hidden beast` number, since 9 + 6 + 3 + 8 + 584 + 24 + 32 = 666.

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 (96385842439) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16813 + ... + 439379.

Almost surely, 296385842432 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 96385842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156766812048).

96385842432 is an abundant number, since it is smaller than the sum of its proper divisors (217147781664).

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

96385842432 is a wasteful number, since it uses less digits than its factorization.

96385842432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422606 (or 422583 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 96385842432 in words is "ninety-six billion, three hundred eighty-five million, eight hundred forty-two thousand, four hundred thirty-two".