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9989204400 = 24325271931673
BaseRepresentation
bin10010100110110011…
…10010100110110000
3221210011110011100100
421103121302212300
5130424214020100
64331115152400
7502353556620
oct112331624660
927704404310
109989204400
11426671112a
121b29445700
13c326aa746
146aa952880
153d6e79400
hex2536729b0

9989204400 has 720 divisors, whose sum is σ = 43111843840. Its totient is φ = 2090188800.

The previous prime is 9989204399. The next prime is 9989204413. The reversal of 9989204400 is 44029899.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14842464 + ... + 14843136.

Almost surely, 29989204400 is an apocalyptic number.

9989204400 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 9989204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555921920).

9989204400 is an abundant number, since it is smaller than the sum of its proper divisors (33122639440).

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

9989204400 is a wasteful number, since it uses less digits than its factorization.

9989204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9989204400 is about 99946.0074240087. The cubic root of 9989204400 is about 2153.6591303725.

The spelling of 9989204400 in words is "nine billion, nine hundred eighty-nine million, two hundred four thousand, four hundred".