Search a number
-
+
18420345510 = 2357672295717
BaseRepresentation
bin10001001001111100…
…000010101010100110
31202112202010111122220
4101021330002222212
5300211102024020
612243455533210
71221321232140
oct211174025246
952482114586
1018420345510
1178a2894246
1236a0b2a206
131977346638
14c6a5a9c90
1572c23a240
hex449f02aa6

18420345510 has 128 divisors (see below), whose sum is σ = 51511403520. Its totient is φ = 4128689664.

The previous prime is 18420345481. The next prime is 18420345533. The reversal of 18420345510 is 1554302481.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3219172 + ... + 3224888.

It is an arithmetic number, because the mean of its divisors is an integer number (402432840).

Almost surely, 218420345510 is an apocalyptic number.

18420345510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18420345510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25755701760).

18420345510 is an abundant number, since it is smaller than the sum of its proper divisors (33091058010).

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

18420345510 is a wasteful number, since it uses less digits than its factorization.

18420345510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030.

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 18420345510 its reverse (1554302481), we get a palindrome (19974647991).

The spelling of 18420345510 in words is "eighteen billion, four hundred twenty million, three hundred forty-five thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 229 335 402 458 469 670 687 938 1005 1145 1374 1407 1603 2010 2290 2345 2814 3206 3435 4690 4809 5717 6870 7035 8015 9618 11434 14070 15343 16030 17151 24045 28585 30686 34302 40019 46029 48090 57170 76715 80038 85755 92058 107401 120057 153430 171510 200095 214802 230145 240114 322203 383039 400190 460290 537005 600285 644406 766078 1074010 1149117 1200570 1309193 1611015 1915195 2298234 2618386 2681273 3222030 3830390 3927579 5362546 5745585 6545965 7855158 8043819 9164351 11491170 13091930 13406365 16087638 18328702 19637895 26812730 27493053 39275790 40219095 45821755 54986106 80438190 87715931 91643510 137465265 175431862 263147793 274930530 438579655 526295586 614011517 877159310 1228023034 1315738965 1842034551 2631477930 3070057585 3684069102 6140115170 9210172755 18420345510