Search a number
-
+
4189727289840 = 2435232113597197
BaseRepresentation
bin111100111101111111001…
…101001111000111110000
3112211112102022001122021220
4330331333031033013300
51022121030141233330
612524422324145040
7611461230235611
oct74757715170760
915745368048256
104189727289840
111375942913664
12577bb7238180
13245121a95b91
14106ad8d8dc08
1573eb7653710
hex3cf7f34f1f0

4189727289840 has 160 divisors (see below), whose sum is σ = 13617092307456. Its totient is φ = 1063618913280.

The previous prime is 4189727289763. The next prime is 4189727289889. The reversal of 4189727289840 is 489827279814.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

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, 633879 + ... + 2963318.

Almost surely, 24189727289840 is an apocalyptic number.

4189727289840 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 4189727289840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808546153728).

4189727289840 is an abundant number, since it is smaller than the sum of its proper divisors (9427365017616).

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

4189727289840 is a wasteful number, since it uses less digits than its factorization.

4189727289840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597447 (or 3597441 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 69.

The spelling of 4189727289840 in words is "four trillion, one hundred eighty-nine billion, seven hundred twenty-seven million, two hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 211 230 240 276 345 368 422 460 552 633 690 844 920 1055 1104 1266 1380 1688 1840 2110 2532 2760 3165 3376 4220 4853 5064 5520 6330 8440 9706 10128 12660 14559 16880 19412 24265 25320 29118 38824 48530 50640 58236 72795 77648 97060 116472 145590 194120 232944 291180 388240 582360 1164720 3597197 7194394 10791591 14388788 17985985 21583182 28777576 35971970 43166364 53957955 57555152 71943940 82735531 86332728 107915910 143887880 165471062 172665456 215831820 248206593 287775760 330942124 413677655 431663640 496413186 661884248 759008567 827355310 863327280 992826372 1241032965 1323768496 1518017134 1654710620 1985652744 2277025701 2482065930 3036034268 3309421240 3795042835 3971305488 4554051402 4964131860 6072068536 6618842480 7590085670 9108102804 9928263720 11385128505 12144137072 15180171340 17457197041 18216205608 19856527440 22770257010 30360342680 34914394082 36432411216 45540514020 52371591123 60720685360 69828788164 87285985205 91081028040 104743182246 139657576328 174571970410 182162056080 209486364492 261857955615 279315152656 349143940820 418972728984 523715911230 698287881640 837945457968 1047431822460 1396575763280 2094863644920 4189727289840