Search a number
-
+
9990000000 = 27335737
BaseRepresentation
bin10010100110111001…
…10100110110000000
3221210012221120201000
421103130310312000
5130424420000000
64331144212000
7502363412301
oct112334646600
927705846630
109990000000
114267104952
121b2976a000
13c328c8906
146aaabc7a8
153d7085000
hex253734d80

9990000000 has 512 divisors, whose sum is σ = 37851465600. Its totient is φ = 2592000000.

The previous prime is 9989999933. The next prime is 9990000001. The reversal of 9990000000 is 999.

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 not an unprimeable number, because it can be changed into a prime (9990000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269999982 + ... + 270000018.

Almost surely, 29990000000 is an apocalyptic number.

9990000000 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 9990000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18925732800).

9990000000 is an abundant number, since it is smaller than the sum of its proper divisors (27861465600).

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

9990000000 is an frugal number, since it uses more digits than its factorization.

9990000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

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

The square root of 9990000000 is about 99949.9874937461. The cubic root of 9990000000 is about 2153.7163056205.

Adding to 9990000000 its reverse (999), we get a palindrome (9990000999).

9990000000 divided by its reverse (999) gives a 7-th power (10000000 = 107).

The spelling of 9990000000 in words is "nine billion, nine hundred ninety million", and thus it is an aban number.