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9909990900 = 22335273137367
BaseRepresentation
bin10010011101010111…
…00111010111110100
3221120122101200212000
421032223213113310
5130243424202100
64315205255300
7500402350515
oct111653472764
927518350760
109909990900
114225a27927
121b06a04530
13c1c164354
146a0212a0c
153d002d900
hex24eae75f4

9909990900 has 288 divisors, whose sum is σ = 32619578880. Its totient is φ = 2580387840.

The previous prime is 9909990889. The next prime is 9909990953. The reversal of 9909990900 is 90999099.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27002517 + ... + 27002883.

Almost surely, 29909990900 is an apocalyptic number.

9909990900 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 9909990900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16309789440).

9909990900 is an abundant number, since it is smaller than the sum of its proper divisors (22709587980).

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

9909990900 is a wasteful number, since it uses less digits than its factorization.

9909990900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The square root of 9909990900 is about 99548.9372118055. The cubic root of 9909990900 is about 2147.9512410517.

It can be divided in two parts, 9909 and 990900, that multiplied together give a square (9818828100 = 990902).

The spelling of 9909990900 in words is "nine billion, nine hundred nine million, nine hundred ninety thousand, nine hundred".