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4163364240 = 2435713718089
BaseRepresentation
bin1111100000100111…
…1110010110010000
3101202011002211001120
43320021332112100
532011310123430
61525043202240
7205113004110
oct37011762620
911664084046
104163364240
1118471241a2
12982376380
1351471c549
142b6d1b040
15195794610
hexf827e590

4163364240 has 160 divisors (see below), whose sum is σ = 14858691840. Its totient is φ = 944627712.

The previous prime is 4163364239. The next prime is 4163364269. The reversal of 4163364240 is 424633614.

4163364240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221116 + ... + 239204.

It is an arithmetic number, because the mean of its divisors is an integer number (92866824).

Almost surely, 24163364240 is an apocalyptic number.

4163364240 is a gapful number since it is divisible by the number (40) 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 4163364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429345920).

4163364240 is an abundant number, since it is smaller than the sum of its proper divisors (10695327600).

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

4163364240 is a wasteful number, since it uses less digits than its factorization.

4163364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18249 (or 18243 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 4163364240 is about 64524.1368791555. The cubic root of 4163364240 is about 1608.7237342583.

Adding to 4163364240 its reverse (424633614), we get a palindrome (4587997854).

The spelling of 4163364240 in words is "four billion, one hundred sixty-three million, three hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 137 140 168 210 240 274 280 336 411 420 548 560 685 822 840 959 1096 1370 1644 1680 1918 2055 2192 2740 2877 3288 3836 4110 4795 5480 5754 6576 7672 8220 9590 10960 11508 14385 15344 16440 18089 19180 23016 28770 32880 36178 38360 46032 54267 57540 72356 76720 90445 108534 115080 126623 144712 180890 217068 230160 253246 271335 289424 361780 379869 434136 506492 542670 633115 723560 759738 868272 1012984 1085340 1266230 1447120 1519476 1899345 2025968 2170680 2478193 2532460 3038952 3798690 4341360 4956386 5064920 6077904 7434579 7597380 9912772 10129840 12390965 14869158 15194760 17347351 19825544 24781930 29738316 30389520 34694702 37172895 39651088 49563860 52042053 59476632 69389404 74345790 86736755 99127720 104084106 118953264 138778808 148691580 173473510 198255440 208168212 260210265 277557616 297383160 346947020 416336424 520420530 594766320 693894040 832672848 1040841060 1387788080 2081682120 4163364240