Search a number
-
+
9998643468 = 22311619531303
BaseRepresentation
bin10010100111111011…
…10011000100001100
3221210211012201022110
421103331303010030
5130434123042333
64332053344020
7502530032022
oct112375630414
927724181273
109998643468
114270a78910
121b30638010
13c34633ba8
146abccc712
153d7be1063
hex253f7310c

9998643468 has 96 divisors (see below), whose sum is σ = 25915341312. Its totient is φ = 2974809600.

The previous prime is 9998643451. The next prime is 9998643481. The reversal of 9998643468 is 8643468999.

9998643468 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 (66).

It is a junction number, because it is equal to n+sod(n) for n = 9998643399 and 9998643408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7672905 + ... + 7674207.

It is an arithmetic number, because the mean of its divisors is an integer number (269951472).

Almost surely, 29998643468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9998643468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12957670656).

9998643468 is an abundant number, since it is smaller than the sum of its proper divisors (15916697844).

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

9998643468 is a wasteful number, since it uses less digits than its factorization.

9998643468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2333 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 66.

The square root of 9998643468 is about 99993.2171099620. The cubic root of 9998643468 is about 2154.3372669732.

The spelling of 9998643468 in words is "nine billion, nine hundred ninety-eight million, six hundred forty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 953 1303 1342 1906 2013 2606 2684 2859 3812 3909 4026 5212 5718 7818 8052 10483 11436 14333 15636 20966 28666 31449 41932 42999 57332 58133 62898 79483 85998 116266 125796 158966 171996 174399 232532 238449 317932 348798 476898 639463 697596 874313 953796 1241759 1278926 1748626 1918389 2483518 2557852 2622939 3497252 3725277 3836778 4967036 5245878 7450554 7673556 10491756 13659349 14901108 27318698 40978047 54637396 75747299 81956094 151494598 163912188 227241897 302989196 454483794 833220289 908967588 1666440578 2499660867 3332881156 4999321734 9998643468