Search a number
-
+
12481861860 = 2234513592681
BaseRepresentation
bin10111001111111101…
…00001100011100100
31012012212211021120000
423213332201203210
5201030324034420
65422321341300
7621212034546
oct134776414344
935185737500
1012481861860
11532575a616
122504197830
13123bc38aa0
14865a11696
154d0c04690
hex2e7fa18e4

12481861860 has 120 divisors (see below), whose sum is σ = 42168138936. Its totient is φ = 3072453120.

The previous prime is 12481861859. The next prime is 12481861921. The reversal of 12481861860 is 6816818421.

12481861860 is a `hidden beast` number, since 1 + 24 + 8 + 1 + 8 + 618 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175509504 + 12306352356 = 13248^2 + 110934^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 275281 + ... + 317400.

Almost surely, 212481861860 is an apocalyptic number.

12481861860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12481861860 is an abundant number, since it is smaller than the sum of its proper divisors (29686277076).

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

12481861860 is a wasteful number, since it uses less digits than its factorization.

12481861860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592715 (or 592704 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 12481861860 in words is "twelve billion, four hundred eighty-one million, eight hundred sixty-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 592681 1185362 1778043 2370724 2963405 3556086 5334129 5926810 7112172 7704853 8890215 10668258 11853620 15409706 16002387 17780430 21336516 23114559 26670645 30819412 32004774 35560860 38524265 46229118 48007161 53341290 64009548 69343677 77048530 80011935 92458236 96014322 106682580 115572795 138687354 154097060 160023870 192028644 208031031 231145590 240035805 277374708 320047740 346718385 416062062 462291180 480071610 624093093 693436770 832124124 960143220 1040155155 1248186186 1386873540 2080310310 2496372372 3120465465 4160620620 6240930930 12481861860