Base | Representation |
---|---|
bin | 10010100110111010… |
… | …01101001110111100 |
3 | 221210020010122202000 |
4 | 21103131031032330 |
5 | 130424431144100 |
6 | 4331150302300 |
7 | 502364306454 |
oct | 112335151674 |
9 | 27706118660 |
10 | 9990099900 |
11 | 4267172a10 |
12 | 1b297b7990 |
13 | c32932221 |
14 | 6aab06d64 |
15 | 3d70a4900 |
hex | 25374d3bc |
9990099900 has 288 divisors, whose sum is σ = 35986863360. Its totient is φ = 2356128000.
The previous prime is 9990099877. The next prime is 9990099907. The reversal of 9990099900 is 99900999.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
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 zygodrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9990099907) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1094355 + ... + 1103445.
Almost surely, 29990099900 is an apocalyptic number.
9990099900 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 9990099900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17993431680).
9990099900 is an abundant number, since it is smaller than the sum of its proper divisors (25996763460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9990099900 is a wasteful number, since it uses less digits than its factorization.
9990099900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9162 (or 9149 counting only the distinct ones).
The product of its (nonzero) digits is 531441, while the sum is 54.
The square root of 9990099900 is about 99950.4872424342. The cubic root of 9990099900 is about 2153.7234846509.
9990099900 divided by its reverse (99900999) gives a square (100 = 102).
It can be divided in two parts, 9990099 and 900, that added together give a palindrome (9990999).
The spelling of 9990099900 in words is "nine billion, nine hundred ninety million, ninety-nine thousand, nine hundred".
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