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6516989220 = 22357210321521
BaseRepresentation
bin1100001000111000…
…10101110100100100
3121211011212100120010
412010130111310210
5101321322123340
62554401410220
7320332331400
oct60434256444
917734770503
106516989220
112844741505
12131a639970
137cb21ba51
1445b748100
15282209b80
hex184715d24

6516989220 has 144 divisors (see below), whose sum is σ = 21433845888. Its totient is φ = 1475066880.

The previous prime is 6516989173. The next prime is 6516989221. The reversal of 6516989220 is 229896156.

It is a super-2 number, since 2×65169892202 = 84942296987192416800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6516989220.

It is not an unprimeable number, because it can be changed into a prime (6516989221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292060 + ... + 313580.

It is an arithmetic number, because the mean of its divisors is an integer number (148846152).

Almost surely, 26516989220 is an apocalyptic number.

6516989220 is a gapful number since it is divisible by the number (60) 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 6516989220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716922944).

6516989220 is an abundant number, since it is smaller than the sum of its proper divisors (14916856668).

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

6516989220 is a wasteful number, since it uses less digits than its factorization.

6516989220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21650 (or 21641 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 6516989220 is about 80727.8713952003. The cubic root of 6516989220 is about 1867.8801241954.

The spelling of 6516989220 in words is "six billion, five hundred sixteen million, nine hundred eighty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 103 105 140 147 196 206 210 245 294 309 412 420 490 515 588 618 721 735 980 1030 1236 1442 1470 1545 2060 2163 2884 2940 3090 3605 4326 5047 6180 7210 8652 10094 10815 14420 15141 20188 21521 21630 25235 30282 43042 43260 50470 60564 64563 75705 86084 100940 107605 129126 150647 151410 215210 258252 301294 302820 322815 430420 451941 602588 645630 753235 903882 1054529 1291260 1506470 1807764 2109058 2216663 2259705 3012940 3163587 4218116 4433326 4519410 5272645 6327174 6649989 8866652 9038820 10545290 11083315 12654348 13299978 15516641 15817935 21090580 22166630 26599956 31033282 31635870 33249945 44333260 46549923 62066564 63271740 66499890 77583205 93099846 108616487 132999780 155166410 186199692 217232974 232749615 310332820 325849461 434465948 465499230 543082435 651698922 930998460 1086164870 1303397844 1629247305 2172329740 3258494610 6516989220