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197045304660 = 223253976774073
BaseRepresentation
bin1011011110000011010…
…0001011110101010100
3200211121102111121110200
42313200310023311110
511212022044222120
6230304340420500
720143652311611
oct2674064136524
9624542447420
10197045304660
1176625a34926
12322320a7730
131577313ab39
14977390d508
1551d3d7de90
hex2de0d0bd54

197045304660 has 144 divisors (see below), whose sum is σ = 600242072976. Its totient is φ = 52322789376.

The previous prime is 197045304647. The next prime is 197045304679. The reversal of 197045304660 is 66403540791.

197045304660 is a `hidden beast` number, since 1 + 9 + 70 + 4 + 530 + 46 + 6 + 0 = 666.

197045304660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4080143376 + 192965161284 = 63876^2 + 439278^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48376384 + ... + 48380456.

It is an arithmetic number, because the mean of its divisors is an integer number (4168347729).

Almost surely, 2197045304660 is an apocalyptic number.

197045304660 is a gapful number since it is divisible by the number (10) 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 197045304660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300121036488).

197045304660 is an abundant number, since it is smaller than the sum of its proper divisors (403196768316).

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

197045304660 is a wasteful number, since it uses less digits than its factorization.

197045304660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 197045304660 in words is "one hundred ninety-seven billion, forty-five million, three hundred four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 677 794 1191 1354 1588 1985 2031 2382 2708 3385 3573 3970 4062 4073 4764 5955 6093 6770 7146 7940 8124 8146 10155 11910 12186 12219 13540 14292 16292 17865 20310 20365 23820 24372 24438 30465 35730 36657 40620 40730 48876 60930 61095 71460 73314 81460 121860 122190 146628 183285 244380 268769 366570 537538 733140 806307 1075076 1343845 1612614 1616981 2418921 2687690 2757421 3225228 3233962 4031535 4837842 4850943 5375380 5514842 6467924 8063070 8084905 8272263 9675684 9701886 11029684 12094605 13787105 14552829 16126140 16169810 16544526 19403772 24189210 24254715 24816789 27574210 29105658 32339620 33089052 41361315 48378420 48509430 49633578 55148420 58211316 72764145 82722630 97018860 99267156 124083945 145528290 165445260 248167890 291056580 496335780 1094696137 2189392274 3284088411 4378784548 5473480685 6568176822 9852265233 10946961370 13136353644 16420442055 19704530466 21893922740 32840884110 39409060932 49261326165 65681768220 98522652330 197045304660