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98535808800 = 2533521113192373
BaseRepresentation
bin101101111000100110…
…0010001111100100000
3100102100010111201112000
41123301030101330200
53103300131340200
6113133340204000
710055544361332
oct1336114217440
9312303451460
1098535808800
1138874993630
121711b539600
1393a4377410
144aaa7dd452
15286a915300
hex16f1311f20

98535808800 has 2304 divisors, whose sum is σ = 466170163200. Its totient is φ = 19707494400.

The previous prime is 98535808793. The next prime is 98535808843. The reversal of 98535808800 is 880853589.

98535808800 is a `hidden beast` number, since 9 + 8 + 53 + 580 + 8 + 8 + 0 + 0 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 1349805564 + ... + 1349805636.

It is an arithmetic number, because the mean of its divisors is an integer number (202330800).

Almost surely, 298535808800 is an apocalyptic number.

98535808800 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 98535808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233085081600).

98535808800 is an abundant number, since it is smaller than the sum of its proper divisors (367634354400).

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

98535808800 is a wasteful number, since it uses less digits than its factorization.

98535808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 98535808800 in words is "ninety-eight billion, five hundred thirty-five million, eight hundred eight thousand, eight hundred".