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275246006040 = 23345379224149
BaseRepresentation
bin1000000000101011111…
…00001011111100011000
3222022110100220211210000
410000111330023330120
514002200434143130
6330240221053000
725612565306625
oct4002574137430
9868410824700
10275246006040
11a6805216255
12454173b7160
131cc56569bc5
14d47171534c
15725e3d2260
hex4015f0bf18

275246006040 has 160 divisors (see below), whose sum is σ = 927577530000. Its totient is φ = 73204943616.

The previous prime is 275246006033. The next prime is 275246006053. The reversal of 275246006040 is 40600642572.

275246006040 is a `hidden beast` number, since 2 + 7 + 5 + 2 + 4 + 600 + 6 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 275246005986 and 275246006004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1115886 + ... + 1340034.

Almost surely, 2275246006040 is an apocalyptic number.

275246006040 is a gapful number since it is divisible by the number (20) 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 275246006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463788765000).

275246006040 is an abundant number, since it is smaller than the sum of its proper divisors (652331523960).

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

275246006040 is a wasteful number, since it uses less digits than its factorization.

275246006040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224551 (or 224538 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 275246006040 in words is "two hundred seventy-five billion, two hundred forty-six million, six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 379 405 540 648 758 810 1080 1137 1516 1620 1895 2274 3032 3240 3411 3790 4548 5685 6822 7580 9096 10233 11370 13644 15160 17055 20466 22740 27288 30699 34110 40932 45480 51165 61398 68220 81864 102330 122796 136440 153495 204660 224149 245592 306990 409320 448298 613980 672447 896596 1120745 1227960 1344894 1793192 2017341 2241490 2689788 3362235 4034682 4482980 5379576 6052023 6724470 8069364 8965960 10086705 12104046 13448940 16138728 18156069 20173410 24208092 26897880 30260115 36312138 40346820 48416184 60520230 72624276 80693640 84952471 90780345 121040460 145248552 169904942 181560690 242080920 254857413 339809884 363121380 424762355 509714826 679619768 726242760 764572239 849524710 1019429652 1274287065 1529144478 1699049420 2038859304 2293716717 2548574130 3058288956 3398098840 3822861195 4587433434 5097148260 6116577912 6881150151 7645722390 9174866868 10194296520 11468583585 13762300302 15291444780 18349733736 22937167170 27524600604 30582889560 34405750755 45874334340 55049201208 68811501510 91748668680 137623003020 275246006040