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9999091140 = 22354713127067
BaseRepresentation
bin10010100111111111…
…00000010111000100
3221210212001110101220
421103333200113010
5130434231404030
64332111120340
7502533605133
oct112377402704
927725043356
109999091140
114271254195
121b308130b0
13c3475c89c
146abda791a
153d7c7da10
hex253fe05c4

9999091140 has 96 divisors (see below), whose sum is σ = 28812478464. Its totient is φ = 2589674880.

The previous prime is 9999091051. The next prime is 9999091177. The reversal of 9999091140 is 411909999.

9999091140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 355887 + ... + 382953.

It is an arithmetic number, because the mean of its divisors is an integer number (300129984).

Almost surely, 29999091140 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 9999091140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406239232).

9999091140 is an abundant number, since it is smaller than the sum of its proper divisors (18813387324).

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

9999091140 is a wasteful number, since it uses less digits than its factorization.

9999091140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27257 (or 27255 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 51.

The square root of 9999091140 is about 99995.4555967420. The cubic root of 9999091140 is about 2154.3694187373.

The spelling of 9999091140 in words is "nine billion, nine hundred ninety-nine million, ninety-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 131 141 188 235 262 282 393 470 524 564 655 705 786 940 1310 1410 1572 1965 2620 2820 3930 6157 7860 12314 18471 24628 27067 30785 36942 54134 61570 73884 81201 92355 108268 123140 135335 162402 184710 270670 324804 369420 406005 541340 812010 1272149 1624020 2544298 3545777 3816447 5088596 6360745 7091554 7632894 10637331 12721490 14183108 15265788 17728885 19082235 21274662 25442980 35457770 38164470 42549324 53186655 70915540 76328940 106373310 166651519 212746620 333303038 499954557 666606076 833257595 999909114 1666515190 1999818228 2499772785 3333030380 4999545570 9999091140