Search a number
-
+
18258486820 = 2257314917863
BaseRepresentation
bin10001000000010010…
…100110011000100100
31202010110120020021121
4101000102212120210
5244343133034240
612215434423324
71214314402000
oct210022463044
952113506247
1018258486820
11781a492432
123656891b44
13194c954b72
14c52cb5700
1571ce1704a
hex4404a6624

18258486820 has 96 divisors (see below), whose sum is σ = 45017280000. Its totient is φ = 6217690752.

The previous prime is 18258486817. The next prime is 18258486823. The reversal of 18258486820 is 2868485281.

It is an interprime number because it is at equal distance from previous prime (18258486817) and next prime (18258486823).

It is a super-2 number, since 2×182584868202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18258486823) 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 31 ways as a sum of consecutive naturals, for example, 1013209 + ... + 1031071.

It is an arithmetic number, because the mean of its divisors is an integer number (468930000).

Almost surely, 218258486820 is an apocalyptic number.

18258486820 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 18258486820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22508640000).

18258486820 is an abundant number, since it is smaller than the sum of its proper divisors (26758793180).

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

18258486820 is a wasteful number, since it uses less digits than its factorization.

18258486820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18042 (or 18026 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 52.

The spelling of 18258486820 in words is "eighteen billion, two hundred fifty-eight million, four hundred eighty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 343 490 596 686 745 980 1043 1372 1490 1715 2086 2980 3430 4172 5215 6860 7301 10430 14602 17863 20860 29204 35726 36505 51107 71452 73010 89315 102214 125041 146020 178630 204428 250082 255535 357260 500164 511070 625205 875287 1022140 1250410 1750574 2500820 2661587 3501148 4376435 5323174 6127009 8752870 10646348 12254018 13307935 17505740 18631109 24508036 26615870 30635045 37262218 53231740 61270090 74524436 93155545 122540180 130417763 186311090 260835526 372622180 521671052 652088815 912924341 1304177630 1825848682 2608355260 3651697364 4564621705 9129243410 18258486820