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96390267246 = 233713374312329
BaseRepresentation
bin101100111000101001…
…1101100000101101110
3100012210121021220211000
41121301103230011232
53034401402022441
6112140413541130
76651432516210
oct1316123540556
9305717256730
1096390267246
113797387a499
1216820aa47a6
139121a025c0
14494589a5b0
1527923a42b6
hex16714ec16e

96390267246 has 256 divisors, whose sum is σ = 277075814400. Its totient is φ = 24157357056.

The previous prime is 96390267173. The next prime is 96390267247. The reversal of 96390267246 is 64276209369.

96390267246 is a `hidden beast` number, since 9 + 6 + 390 + 2 + 6 + 7 + 246 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 96390267192 and 96390267201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96390267247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7812010 + ... + 7824338.

It is an arithmetic number, because the mean of its divisors is an integer number (1082327400).

Almost surely, 296390267246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96390267246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138537907200).

96390267246 is an abundant number, since it is smaller than the sum of its proper divisors (180685547154).

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

96390267246 is a wasteful number, since it uses less digits than its factorization.

96390267246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12440 (or 12434 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 96390267246 in words is "ninety-six billion, three hundred ninety million, two hundred sixty-seven thousand, two hundred forty-six".