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18259396812 = 2234241379617
BaseRepresentation
bin10001000000010110…
…000100100011001100
31202010112021110120000
4101000112010203030
5244343401144222
612215510124300
71214325212016
oct210026044314
952115243500
1018259396812
11781aa54098
123657050690
13194cbb3117
14c530711b6
1571d0469ac
hex4405848cc

18259396812 has 120 divisors (see below), whose sum is σ = 48136094160. Its totient is φ = 6035420160.

The previous prime is 18259396783. The next prime is 18259396819. The reversal of 18259396812 is 21869395281.

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

It is not an unprimeable number, because it can be changed into a prime (18259396819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29593528 + ... + 29594144.

It is an arithmetic number, because the mean of its divisors is an integer number (401134118).

Almost surely, 218259396812 is an apocalyptic number.

18259396812 is a gapful number since it is divisible by the number (12) 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 18259396812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24068047080).

18259396812 is an abundant number, since it is smaller than the sum of its proper divisors (29876697348).

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

18259396812 is a wasteful number, since it uses less digits than its factorization.

18259396812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1242 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 18259396812 in words is "eighteen billion, two hundred fifty-nine million, three hundred ninety-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 324 379 482 617 723 758 964 1137 1234 1446 1516 1851 2169 2274 2468 2892 3411 3702 4338 4548 5553 6507 6822 7404 8676 10233 11106 13014 13644 16659 19521 20466 22212 26028 30699 33318 39042 40932 49977 61398 66636 78084 91339 99954 122796 148697 182678 199908 233843 274017 297394 365356 446091 467686 548034 594788 701529 822051 892182 935372 1096068 1338273 1403058 1644102 1784364 2104587 2466153 2676546 2806116 3288204 4014819 4209174 4932306 5353092 6313761 7398459 8029638 8418348 9864612 12044457 12627522 14796918 16059276 18941283 24088914 25255044 29593836 37882566 48177828 56356163 75765132 112712326 169068489 225424652 338136978 507205467 676273956 1014410934 1521616401 2028821868 3043232802 4564849203 6086465604 9129698406 18259396812