Search a number
-
+
9909868400 = 245229854299
BaseRepresentation
bin10010011101010110…
…01001011101110000
3221120122011110210222
421032223021131300
5130243411242100
64315202512212
7500401330415
oct111653113560
927518143728
109909868400
114225953893
121b06965668
13c1c120673
146a01c010c
153d0007485
hex24eac9770

9909868400 has 60 divisors (see below), whose sum is σ = 24629469000. Its totient is φ = 3827255040.

The previous prime is 9909868391. The next prime is 9909868403. The reversal of 9909868400 is 48689099.

9909868400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9909868403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 415550 + ... + 438749.

It is an arithmetic number, because the mean of its divisors is an integer number (410491150).

Almost surely, 29909868400 is an apocalyptic number.

It is an amenable number.

9909868400 is an abundant number, since it is smaller than the sum of its proper divisors (14719600600).

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

9909868400 is a wasteful number, since it uses less digits than its factorization.

9909868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854346 (or 854335 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The square root of 9909868400 is about 99548.3219346263. The cubic root of 9909868400 is about 2147.9423905521.

The spelling of 9909868400 in words is "nine billion, nine hundred nine million, eight hundred sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 854299 1708598 3417196 4271495 6834392 8542990 13668784 17085980 21357475 24774671 34171960 42714950 49549342 68343920 85429900 99098684 123873355 170859800 198197368 247746710 341719600 396394736 495493420 619366775 990986840 1238733550 1981973680 2477467100 4954934200 9909868400