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9893980200 = 233521319101661
BaseRepresentation
bin10010011011011101…
…00010100000101000
3221112112021021022010
421031232202200220
5130230324331300
64313434155520
7500116305216
oct111556424050
927475237263
109893980200
114217991845
121b01582ba0
13c18a49970
1469c045cb6
153cd919a50
hex24dba2828

9893980200 has 384 divisors, whose sum is σ = 35166499200. Its totient is φ = 2280960000.

The previous prime is 9893980183. The next prime is 9893980207. The reversal of 9893980200 is 20893989.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9893980200.

It is not an unprimeable number, because it can be changed into a prime (9893980207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14967870 + ... + 14968530.

It is an arithmetic number, because the mean of its divisors is an integer number (91579425).

Almost surely, 29893980200 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 9893980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583249600).

9893980200 is an abundant number, since it is smaller than the sum of its proper divisors (25272519000).

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

9893980200 is a wasteful number, since it uses less digits than its factorization.

9893980200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 9893980200 is about 99468.4884775073. The cubic root of 9893980200 is about 2146.7938656201.

The spelling of 9893980200 in words is "nine billion, eight hundred ninety-three million, nine hundred eighty thousand, two hundred".