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96801370848 = 253271319732663
BaseRepresentation
bin101101000100111001…
…1111011001011100000
3100020212020212010221100
41122021303323023200
53041222122331343
6112245301154400
76664554035040
oct1321163731340
9306766763840
1096801370848
1138064939736
12169166bba00
139188c30b80
144984311720
1527b850c9d3
hex1689cfb2e0

96801370848 has 576 divisors, whose sum is σ = 361657820160. Its totient is φ = 23846068224.

The previous prime is 96801370801. The next prime is 96801370901. The reversal of 96801370848 is 84807310869.

It is a super-3 number, since 3×968013708483 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96801370794 and 96801370803.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 36349165 + ... + 36351827.

It is an arithmetic number, because the mean of its divisors is an integer number (627878160).

Almost surely, 296801370848 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 96801370848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180828910080).

96801370848 is an abundant number, since it is smaller than the sum of its proper divisors (264856449312).

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

96801370848 is a wasteful number, since it uses less digits than its factorization.

96801370848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 96801370848 in words is "ninety-six billion, eight hundred one million, three hundred seventy thousand, eight hundred forty-eight".