Search a number
-
+
682747088940 = 223357225802989
BaseRepresentation
bin10011110111101101110…
…01011101000000101100
32102021021211002201002000
421323312321131000230
542141231223321230
61241352155332300
7100220052334200
oct11736671350054
92367254081060
10682747088940
11243607a29214
12b03a2751090
134c4c8c55127
142508bbccb00
1512b5e5c3b60
hex9ef6e5d02c

682747088940 has 144 divisors (see below), whose sum is σ = 2470894322400. Its totient is φ = 156056471424.

The previous prime is 682747088921. The next prime is 682747089029. The reversal of 682747088940 is 49880747286.

682747088940 is a `hidden beast` number, since 6 + 82 + 7 + 470 + 8 + 89 + 4 + 0 = 666.

It is a super-2 number, since 2×6827470889402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 12875035 + ... + 12927954.

It is an arithmetic number, because the mean of its divisors is an integer number (17158988350).

Almost surely, 2682747088940 is an apocalyptic number.

682747088940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682747088940 is an abundant number, since it is smaller than the sum of its proper divisors (1788147233460).

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

682747088940 is a wasteful number, since it uses less digits than its factorization.

682747088940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25803021 (or 25803006 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 682747088940 in words is "six hundred eighty-two billion, seven hundred forty-seven million, eighty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460 25802989 51605978 77408967 103211956 129014945 154817934 180620923 232226901 258029890 309635868 361241846 387044835 464453802 516059780 541862769 696680703 722483692 774089670 903104615 928907604 1083725538 1161134505 1264346461 1393361406 1548179340 1625588307 1806209230 2167451076 2322269010 2528692922 2709313845 2786722812 3251176614 3483403515 3612418460 3793039383 4644538020 4876764921 5057385844 5418627690 6321732305 6502353228 6966807030 7586078766 8127941535 9753529842 10837255380 11379118149 12643464610 13933614060 15172157532 16255883070 18965196915 19507059684 22758236298 24383824605 25286929220 32511766140 34137354447 37930393830 45516472596 48767649210 56895590745 68274708894 75860787660 97535298420 113791181490 136549417788 170686772235 227582362980 341373544470 682747088940