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99599248080 = 24335313714699
BaseRepresentation
bin101110011000010010…
…0111110101011010000
3100112002020120000222000
41130300210332223100
53112434401414310
6113431045314000
710124106432363
oct1346044765320
9315066500860
1099599248080
11392701a7272
1217377705900
139513796b27
144b6bb420da
1528cde784c0
hex173093ead0

99599248080 has 160 divisors (see below), whose sum is σ = 343196784000. Its totient is φ = 26549526528.

The previous prime is 99599248037. The next prime is 99599248169. The reversal of 99599248080 is 8084299599.

It is a junction number, because it is equal to n+sod(n) for n = 99599247999 and 99599248017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6768571 + ... + 6783269.

It is an arithmetic number, because the mean of its divisors is an integer number (2144979900).

Almost surely, 299599248080 is an apocalyptic number.

99599248080 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 99599248080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171598392000).

99599248080 is an abundant number, since it is smaller than the sum of its proper divisors (243597535920).

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

99599248080 is a wasteful number, since it uses less digits than its factorization.

99599248080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17858 (or 17846 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 99599248080 in words is "ninety-nine billion, five hundred ninety-nine million, two hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 3137 6274 9411 12548 14699 15685 18822 25096 28233 29398 31370 37644 44097 47055 50192 56466 58796 62740 73495 75288 84699 88194 94110 112932 117592 125480 132291 141165 146990 150576 169398 176388 188220 220485 225864 235184 250960 264582 282330 293980 338796 352776 376440 396873 423495 440970 451728 529164 564660 587960 661455 677592 705552 752880 793746 846990 881940 1058328 1129320 1175920 1322910 1355184 1587492 1693980 1763880 1984365 2116656 2258640 2645820 3174984 3387960 3527760 3968730 5291640 6349968 6775920 7937460 10583280 15874920 31749840 46110763 92221526 138332289 184443052 230553815 276664578 368886104 414996867 461107630 553329156 691661445 737772208 829993734 922215260 1106658312 1244990601 1383322890 1659987468 1844430520 2074984335 2213316624 2489981202 2766645780 3319974936 3688861040 4149968670 4979962404 5533291560 6224953005 6639949872 8299937340 9959924808 11066583120 12449906010 16599874680 19919849616 24899812020 33199749360 49799624040 99599248080