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9909098496 = 211331121481
BaseRepresentation
bin10010011101010000…
…01101100000000000
3221120120201100201000
421032220031200000
5130243212122441
64315134212000
7500361642663
oct111650154000
927516640630
109909098496
114225478400
121b06654000
13c1bc110bb
146a005d6da
153cee042b6
hex24ea0d800

9909098496 has 288 divisors, whose sum is σ = 32285962800. Its totient is φ = 3000729600.

The previous prime is 9909098467. The next prime is 9909098497. The reversal of 9909098496 is 6948909099.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9909098497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6690076 + ... + 6691556.

Almost surely, 29909098496 is an apocalyptic number.

9909098496 is a gapful number since it is divisible by the number (96) 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 9909098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16142981400).

9909098496 is an abundant number, since it is smaller than the sum of its proper divisors (22376864304).

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

9909098496 is a wasteful number, since it uses less digits than its factorization.

9909098496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The square root of 9909098496 is about 99544.4548731872. The cubic root of 9909098496 is about 2147.8867641065.

The spelling of 9909098496 in words is "nine billion, nine hundred nine million, ninety-eight thousand, four hundred ninety-six".