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98066011680 = 25325713799473
BaseRepresentation
bin101101101010100110…
…0001001011000100000
3100101010101111120000200
41123111030021120200
53101314344333210
6113014554545200
710041111226410
oct1332514113040
9311111446020
1098066011680
113865378604a
121700a138200
13932ac38760
144a6426a640
15283e5660c0
hex16d5309620

98066011680 has 576 divisors, whose sum is σ = 417134914560. Its totient is φ = 20426784768.

The previous prime is 98066011649. The next prime is 98066011717. The reversal of 98066011680 is 8611066089.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10347424 + ... + 10356896.

It is an arithmetic number, because the mean of its divisors is an integer number (724192560).

Almost surely, 298066011680 is an apocalyptic number.

98066011680 is a gapful number since it is divisible by the number (90) 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 98066011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208567457280).

98066011680 is an abundant number, since it is smaller than the sum of its proper divisors (319068902880).

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

98066011680 is a wasteful number, since it uses less digits than its factorization.

98066011680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9593 (or 9582 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 98066011680 in words is "ninety-eight billion, sixty-six million, eleven thousand, six hundred eighty".