Search a number
-
+
166644130540 = 225232371034133
BaseRepresentation
bin1001101100110011000…
…0111010001011101100
3120221010201022221122211
42123030300322023230
510212241344134130
6204315534020204
715016411511116
oct2331460721354
9527121287584
10166644130540
11647452a3838
1228368947664
1312939912c04
1480cc0b63b6
154504e0da2a
hex26ccc3a2ec

166644130540 has 144 divisors (see below), whose sum is σ = 379456354368. Its totient is φ = 61419105792.

The previous prime is 166644130507. The next prime is 166644130633. The reversal of 166644130540 is 45031446661.

It is a happy number.

166644130540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 166644130493 and 166644130502.

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, 40318314 + ... + 40322446.

It is an arithmetic number, because the mean of its divisors is an integer number (2635113572).

Almost surely, 2166644130540 is an apocalyptic number.

166644130540 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 166644130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189728177184).

166644130540 is an abundant number, since it is smaller than the sum of its proper divisors (212812223828).

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

166644130540 is a wasteful number, since it uses less digits than its factorization.

166644130540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 166644130540 in words is "one hundred sixty-six billion, six hundred forty-four million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 103 115 148 185 206 230 370 412 460 515 529 740 851 1030 1058 1702 2060 2116 2369 2645 3404 3811 4133 4255 4738 5290 7622 8266 8510 9476 10580 11845 15244 16532 17020 19055 19573 20665 23690 38110 39146 41330 47380 54487 76220 78292 82660 87653 95059 97865 108974 152921 175306 190118 195730 217948 272435 305842 350612 380236 391460 425699 438265 475295 544870 611684 764605 851398 876530 950590 1089740 1529210 1702796 1753060 1901180 2016019 2128495 2186357 3058420 3517183 4032038 4256990 4372714 7034366 8064076 8513980 8745428 9791077 10080095 10931785 14068732 15750863 17585915 19582154 20160190 21863570 31501726 35171830 39164308 40320380 43727140 48955385 63003452 70343660 78754315 80895209 97910770 157508630 161790418 195821540 225194771 315017260 323580836 362269849 404476045 450389542 724539698 808952090 900779084 1125973855 1449079396 1617904180 1811349245 2251947710 3622698490 4503895420 7245396980 8332206527 16664413054 33328826108 41661032635 83322065270 166644130540