Search a number
-
+
18241836540 = 22351931216651
BaseRepresentation
bin10000111111010011…
…000101010111111100
31202002022020022101120
4100333103011113330
5244324402232130
612214041510540
71214023023624
oct207723052774
952068208346
1018241836540
11781104a874
1236511a2450
131949375325
14c509bd884
1571b728910
hex43f4c55fc

18241836540 has 144 divisors (see below), whose sum is σ = 55559064960. Its totient is φ = 4459536000.

The previous prime is 18241836523. The next prime is 18241836581. The reversal of 18241836540 is 4563814281.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18241836492 and 18241836501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087215 + ... + 1103865.

It is an arithmetic number, because the mean of its divisors is an integer number (385826840).

Almost surely, 218241836540 is an apocalyptic number.

18241836540 is a gapful number since it is divisible by the number (10) 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 18241836540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27779532480).

18241836540 is an abundant number, since it is smaller than the sum of its proper divisors (37317228420).

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

18241836540 is a wasteful number, since it uses less digits than its factorization.

18241836540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16744 (or 16711 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 18241836540 in words is "eighteen billion, two hundred forty-one million, eight hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 465 570 589 620 930 961 1140 1178 1767 1860 1922 2356 2883 2945 3534 3844 4805 5766 5890 7068 8835 9610 11532 11780 14415 16651 17670 18259 19220 28830 33302 35340 36518 49953 54777 57660 66604 73036 83255 91295 99906 109554 166510 182590 199812 219108 249765 273885 316369 333020 365180 499530 516181 547770 632738 949107 999060 1032362 1095540 1265476 1548543 1581845 1898214 2064724 2580905 3097086 3163690 3796428 4745535 5161810 6194172 6327380 7742715 9491070 9807439 10323620 15485430 16001611 18982140 19614878 29422317 30970860 32003222 39229756 48004833 49037195 58844634 64006444 80008055 96009666 98074390 117689268 147111585 160016110 192019332 196148780 240024165 294223170 304030609 320032220 480048330 588446340 608061218 912091827 960096660 1216122436 1520153045 1824183654 3040306090 3648367308 4560459135 6080612180 9120918270 18241836540