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96398422848 = 263272132311423
BaseRepresentation
bin101100111000111001…
…0110011001101000000
3100012211011122021012100
41121301302303031000
53034410444012343
6112141304430400
76651562034400
oct1316162631500
9305734567170
1096398422848
113797843a962
1216823778400
1391235c97c0
1449469c0800
152792e659d3
hex1671cb3340

96398422848 has 504 divisors, whose sum is σ = 361226331648. Its totient is φ = 24316250112.

The previous prime is 96398422777. The next prime is 96398422853. The reversal of 96398422848 is 84822489369.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×963984228482 (a number of 23 digits) contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 8433265 + ... + 8444687.

It is an arithmetic number, because the mean of its divisors is an integer number (716718912).

Almost surely, 296398422848 is an apocalyptic number.

96398422848 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96398422848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180613165824).

96398422848 is an abundant number, since it is smaller than the sum of its proper divisors (264827908800).

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

96398422848 is a wasteful number, since it uses less digits than its factorization.

96398422848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11491 (or 11471 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 96398422848 in words is "ninety-six billion, three hundred ninety-eight million, four hundred twenty-two thousand, eight hundred forty-eight".