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96392382912 = 2633725771973
BaseRepresentation
bin101100111000101101…
…1110000100111000000
3100012210202021101222000
41121301123300213000
53034402422223122
6112140531144000
76651456510300
oct1316133604700
9305722241860
1096392382912
1137974a94a81
1216821745000
139122293587
144945c8b600
1527926710ac
hex16716f09c0

96392382912 has 336 divisors, whose sum is σ = 330379852320. Its totient is φ = 27479015424.

The previous prime is 96392382857. The next prime is 96392382937. The reversal of 96392382912 is 21928329369.

96392382912 is a `hidden beast` number, since 96 + 3 + 92 + 382 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 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, 48854758 + ... + 48856730.

It is an arithmetic number, because the mean of its divisors is an integer number (983273370).

Almost surely, 296392382912 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 96392382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165189926160).

96392382912 is an abundant number, since it is smaller than the sum of its proper divisors (233987469408).

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

96392382912 is a wasteful number, since it uses less digits than its factorization.

96392382912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2562 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 96392382912 in words is "ninety-six billion, three hundred ninety-two million, three hundred eighty-two thousand, nine hundred twelve".