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999000000 = 26335637
BaseRepresentation
bin111011100010111…
…000011111000000
32120121210110101000
4323202320133000
54021221000000
6243044012000
733520234305
oct7342703700
92517713330
10999000000
11472a00539
1223a691000
1312bc79c7b
149696b0ac
155ca85000
hex3b8b87c0

999000000 has 392 divisors, whose sum is σ = 3770264240. Its totient is φ = 259200000.

The previous prime is 998999999. The next prime is 999000011. The reversal of 999000000 is 999.

999000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26999982 + ... + 27000018.

Almost surely, 2999000000 is an apocalyptic number.

999000000 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 999000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885132120).

999000000 is an abundant number, since it is smaller than the sum of its proper divisors (2771264240).

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

999000000 is an frugal number, since it uses more digits than its factorization.

999000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 999000000 is about 31606.9612585582. The cubic root of 999000000 is about 999.6665554938. Note that the first 3 decimals are identical.

Adding to 999000000 its reverse (999), we get a palindrome (999000999).

Multiplying 999000000 by its reverse (999), we get a square (998001000000 = 9990002).

999000000 divided by its reverse (999) gives a 6-th power (1000000 = 106).

The spelling of 999000000 in words is "nine hundred ninety-nine million", and thus it is an aban number.