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9991324800 = 273252192312
BaseRepresentation
bin10010100111000011…
…11000010010000000
3221210022102212222200
421103201320102000
5130430234343200
64331232433200
7502410600552
oct112341702200
927708385880
109991324800
11426792a226
121b2a0a8800
13c32c70912
146aad454d2
153d7247800
hex253878480

9991324800 has 648 divisors, whose sum is σ = 38879390745. Its totient is φ = 2442700800.

The previous prime is 9991324787. The next prime is 9991324801. The reversal of 9991324800 is 84231999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9791498304 + 199826496 = 98952^2 + 14136^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=70680.

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

It is not an unprimeable number, because it can be changed into a prime (9991324801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 322300785 + ... + 322300815.

Almost surely, 29991324800 is an apocalyptic number.

9991324800 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 9991324800

9991324800 is an abundant number, since it is smaller than the sum of its proper divisors (28888065945).

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

9991324800 is a wasteful number, since it uses less digits than its factorization.

9991324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9991324800 is about 99956.6145885304. The cubic root of 9991324800 is about 2153.8115047278.

The spelling of 9991324800 in words is "nine billion, nine hundred ninety-one million, three hundred twenty-four thousand, eight hundred".