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98418824064 = 27331117152287
BaseRepresentation
bin101101110101000111…
…0000001001110000000
3100102000222101021122000
41123222032001032000
53103030204332224
6113114000544000
710052624126061
oct1335216011600
9312028337560
1098418824064
1138814951230
12170a8322000
139386067a92
144a9906a568
1528605080c9
hex16ea381380

98418824064 has 256 divisors, whose sum is σ = 335520921600. Its totient is φ = 28069355520.

The previous prime is 98418824059. The next prime is 98418824089. The reversal of 98418824064 is 46042881489.

It is a happy number.

98418824064 is a `hidden beast` number, since 98 + 418 + 82 + 4 + 0 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 98418824064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570129 + ... + 722415.

It is an arithmetic number, because the mean of its divisors is an integer number (1310628600).

Almost surely, 298418824064 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 98418824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167760460800).

98418824064 is an abundant number, since it is smaller than the sum of its proper divisors (237102097536).

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

98418824064 is a wasteful number, since it uses less digits than its factorization.

98418824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152338 (or 152320 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 98418824064 in words is "ninety-eight billion, four hundred eighteen million, eight hundred twenty-four thousand, sixty-four".