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4863289680 = 243354352361
BaseRepresentation
bin1001000011101111…
…11110100101010000
3110112221010201021000
410201313332211100
534430000232210
62122325102000
7231342165054
oct44167764520
913487121230
104863289680
112076222577
12b38857900
135c6733a02
14341c75c64
151d6e4eac0
hex121dfe950

4863289680 has 160 divisors (see below), whose sum is σ = 17141224320. Its totient is φ = 1266693120.

The previous prime is 4863289667. The next prime is 4863289681. The reversal of 4863289680 is 869823684.

4863289680 is a `hidden beast` number, since 486 + 3 + 2 + 89 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4863289681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 66700 + ... + 119060.

It is an arithmetic number, because the mean of its divisors is an integer number (107132652).

Almost surely, 24863289680 is an apocalyptic number.

4863289680 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 4863289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570612160).

4863289680 is an abundant number, since it is smaller than the sum of its proper divisors (12277934640).

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

4863289680 is a wasteful number, since it uses less digits than its factorization.

4863289680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52426 (or 52414 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4863289680 is about 69737.2904549639. The cubic root of 4863289680 is about 1694.2469518850.

The spelling of 4863289680 in words is "four billion, eight hundred sixty-three million, two hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 43 45 48 54 60 72 80 86 90 108 120 129 135 144 172 180 215 216 240 258 270 344 360 387 430 432 516 540 645 688 720 774 860 1032 1080 1161 1290 1548 1720 1935 2064 2160 2322 2580 3096 3440 3870 4644 5160 5805 6192 7740 9288 10320 11610 15480 18576 23220 30960 46440 52361 92880 104722 157083 209444 261805 314166 418888 471249 523610 628332 785415 837776 942498 1047220 1256664 1413747 1570830 1884996 2094440 2251523 2356245 2513328 2827494 3141660 3769992 4188880 4503046 4712490 5654988 6283320 6754569 7068735 7539984 9006092 9424980 11257615 11309976 12566640 13509138 14137470 18012184 18849960 20263707 22515230 22619952 27018276 28274940 33772845 36024368 37699920 40527414 45030460 54036552 56549880 60791121 67545690 81054828 90060920 101318535 108073104 113099760 121582242 135091380 162109656 180121840 202637070 243164484 270182760 303955605 324219312 405274140 486328968 540365520 607911210 810548280 972657936 1215822420 1621096560 2431644840 4863289680