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9908920980 = 22325722673469
BaseRepresentation
bin10010011101001111…
…00010001010010100
3221120120101100012100
421032213202022110
5130243140432410
64315130322100
7500360303310
oct111647421224
927516340170
109908920980
114225366aa2
121b06589330
13c1bb7b36a
146a0014b40
153cedbb8c0
hex24e9e2294

9908920980 has 144 divisors (see below), whose sum is σ = 34375985280. Its totient is φ = 2263244544.

The previous prime is 9908920949. The next prime is 9908920991. The reversal of 9908920980 is 890298099.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2854686 + ... + 2858154.

It is an arithmetic number, because the mean of its divisors is an integer number (238722120).

Almost surely, 29908920980 is an apocalyptic number.

9908920980 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 9908920980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17187992640).

9908920980 is an abundant number, since it is smaller than the sum of its proper divisors (24467064300).

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

9908920980 is a wasteful number, since it uses less digits than its factorization.

9908920980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 9908920980 is about 99543.5632273629. The cubic root of 9908920980 is about 2147.8739379635.

The spelling of 9908920980 in words is "nine billion, nine hundred eight million, nine hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2267 3469 4534 6801 6938 9068 10407 11335 13602 13876 15869 17345 20403 20814 22670 24283 27204 31221 31738 34005 34690 40806 41628 45340 47607 48566 52035 62442 63476 68010 69380 72849 79345 81612 95214 97132 102015 104070 121415 124884 136020 142821 145698 156105 158690 190428 204030 208140 218547 238035 242830 285642 291396 312210 317380 364245 408060 437094 476070 485660 571284 624420 714105 728490 874188 952140 1092735 1428210 1456980 2185470 2856420 4370940 7864223 15728446 23592669 31456892 39321115 47185338 55049561 70778007 78642230 94370676 110099122 117963345 141556014 157284460 165148683 220198244 235926690 275247805 283112028 330297366 353890035 471853380 495446049 550495610 660594732 707780070 825743415 990892098 1100991220 1415560140 1651486830 1981784196 2477230245 3302973660 4954460490 9908920980