Base | Representation |
---|---|
bin | 10010100111111111… |
… | …00010010001111000 |
3 | 221210212001212012000 |
4 | 21103333202101320 |
5 | 130434232132000 |
6 | 4332111221000 |
7 | 502533640062 |
oct | 112377422170 |
9 | 27725055160 |
10 | 9999099000 |
11 | 427125a090 |
12 | 1b30817760 |
13 | c34763337 |
14 | 6abdaa732 |
15 | 3d7c81000 |
hex | 253fe2478 |
9999099000 has 512 divisors, whose sum is σ = 38251699200. Its totient is φ = 2396160000.
The previous prime is 9999098971. The next prime is 9999099017. The reversal of 9999099000 is 9909999.
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 127 ways as a sum of consecutive naturals, for example, 38906872 + ... + 38907128.
It is an arithmetic number, because the mean of its divisors is an integer number (74710350).
Almost surely, 29999099000 is an apocalyptic number.
9999099000 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 9999099000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125849600).
9999099000 is an abundant number, since it is smaller than the sum of its proper divisors (28252600200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9999099000 is a wasteful number, since it uses less digits than its factorization.
9999099000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 429 (or 409 counting only the distinct ones).
The product of its (nonzero) digits is 531441, while the sum is 54.
The square root of 9999099000 is about 99995.4948985203. The cubic root of 9999099000 is about 2154.3699832333.
It can be divided in two parts, 99 and 99099000, that added together give a palindrome (99099099).
The spelling of 9999099000 in words is "nine billion, nine hundred ninety-nine million, ninety-nine thousand".
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