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189775939184680 = 23529829233384589
BaseRepresentation
bin101011001001100110100111…
…011100010010100000101000
3220212221101212111110001121111
4223021212213130102200220
5144333242110412402210
61511341510215320104
754654600454301452
oct5311464734224050
9825841774401544
10189775939184680
11555175842484a2
121934ba22080034
1381b7a43044084
1434c12c10a72d2
1516e17936c188a
hexac99a7712828

189775939184680 has 128 divisors (see below), whose sum is σ = 442447487460000. Its totient is φ = 73172122619904.

The previous prime is 189775939184639. The next prime is 189775939184681. The reversal of 189775939184680 is 86481939577981.

It can be written as a sum of positive squares in 16 ways, for example, as 41038450327876 + 148737488856804 = 6406126^2 + 12195798^2 .

It is not an unprimeable number, because it can be changed into a prime (189775939184681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243463826 + ... + 2243548414.

Almost surely, 2189775939184680 is an apocalyptic number.

189775939184680 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 189775939184680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221223743730000).

189775939184680 is an abundant number, since it is smaller than the sum of its proper divisors (252671548275320).

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

189775939184680 is a wasteful number, since it uses less digits than its factorization.

189775939184680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87791 (or 87787 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 85.

The spelling of 189775939184680 in words is "one hundred eighty-nine trillion, seven hundred seventy-five billion, nine hundred thirty-nine million, one hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 829 1160 1658 2333 3316 4145 4666 6632 8290 9332 11665 16580 18664 23330 24041 33160 46660 48082 67657 84589 93320 96164 120205 135314 169178 192328 240410 270628 338285 338356 422945 480820 541256 676570 676712 845890 961640 1353140 1691780 1934057 2453081 2706280 3383560 3868114 4906162 7736228 9670285 9812324 12265405 15472456 19340570 19624648 24530810 38681140 49061620 56087653 70124281 77362280 98123240 112175306 140248562 197346137 224350612 280438265 280497124 350621405 394692274 448701224 560876530 560994248 701242810 789384548 986730685 1121753060 1402485620 1578769096 1973461370 2033604149 2243506120 2804971240 3946922740 4067208298 5723037973 7893845480 8134416596 10168020745 11446075946 16268833192 20336041490 22892151892 28615189865 40672082980 45784303784 57230379730 81344165960 114460759460 163599947573 228921518920 327199895146 654399790292 817999737865 1308799580584 1635999475730 3271998951460 4744398479617 6543997902920 9488796959234 18977593918468 23721992398085 37955187836936 47443984796170 94887969592340 189775939184680