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9858930930 = 2335314128729
BaseRepresentation
bin10010010111010001…
…10101100011110010
3221110002022120202000
421023220311203302
5130142341242210
64310143034430
7466212346602
oct111350654362
927402276660
109858930930
1141aa122802
121ab189ba16
13c116c7654
14697520c02
153ca7e4ac0
hex24ba358f2

9858930930 has 128 divisors (see below), whose sum is σ = 27801446400. Its totient is φ = 2482099200.

The previous prime is 9858930871. The next prime is 9858930937. The reversal of 9858930930 is 390398589.

9858930930 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 (54).

It is not an unprimeable number, because it can be changed into a prime (9858930937) 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 63 ways as a sum of consecutive naturals, for example, 328806 + ... + 357534.

It is an arithmetic number, because the mean of its divisors is an integer number (217198800).

Almost surely, 29858930930 is an apocalyptic number.

9858930930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9858930930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13900723200).

9858930930 is an abundant number, since it is smaller than the sum of its proper divisors (17942515470).

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

9858930930 is a wasteful number, since it uses less digits than its factorization.

9858930930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28817 (or 28811 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 9858930930 is about 99292.1493875523. The cubic root of 9858930930 is about 2144.2558717662.

The spelling of 9858930930 in words is "nine billion, eight hundred fifty-eight million, nine hundred thirty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 41 45 54 62 82 90 93 123 135 155 186 205 246 270 279 310 369 410 465 558 615 738 837 930 1107 1230 1271 1395 1674 1845 2214 2542 2790 3690 3813 4185 5535 6355 7626 8370 11070 11439 12710 19065 22878 28729 34317 38130 57195 57458 68634 86187 114390 143645 171585 172374 258561 287290 343170 430935 517122 775683 861870 890599 1177889 1292805 1551366 1781198 2355778 2585610 2671797 3533667 3878415 4452995 5343594 5889445 7067334 7756830 8015391 8905990 10601001 11778890 13358985 16030782 17668335 21202002 24046173 26717970 31803003 35336670 36514559 40076955 48092346 53005005 63606006 73029118 80153910 106010010 109543677 120230865 159015015 182572795 219087354 240461730 318030030 328631031 365145590 547718385 657262062 985893093 1095436770 1643155155 1971786186 3286310310 4929465465 9858930930