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9999900000 = 25325541271
BaseRepresentation
bin10010101000000101…
…00101110101100000
3221210220120112221200
421110002211311200
5130434433300000
64332140321200
7502543514256
oct112402456540
927726515850
109999900000
114271756972
121b30b43200
13c34983abc
146ac1385d6
153d7d8d500
hex2540a5d60

9999900000 has 432 divisors, whose sum is σ = 36545535936. Its totient is φ = 2592000000.

The previous prime is 9999899993. The next prime is 9999900017. The reversal of 9999900000 is 99999.

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

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36899865 + ... + 36900135.

It is an arithmetic number, because the mean of its divisors is an integer number (84596148).

Almost surely, 29999900000 is an apocalyptic number.

9999900000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 99999×100000.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18272767968).

9999900000 is an abundant number, since it is smaller than the sum of its proper divisors (26545635936).

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

9999900000 is a wasteful number, since it uses less digits than its factorization.

9999900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The square root of 9999900000 is about 99999.4999987500. The cubic root of 9999900000 is about 2154.4275085590.

Adding to 9999900000 its reverse (99999), we get a palindrome (9999999999).

Subtracting from 9999900000 its reverse (99999), we obtain a square (9999800001 = 999992).

9999900000 divided by its reverse (99999) gives a 5-th power (100000 = 105).

The spelling of 9999900000 in words is "nine billion, nine hundred ninety-nine million, nine hundred thousand".