Search a number
-
+
18605074180 = 22571177315629
BaseRepresentation
bin10001010100111100…
…101110011100000100
31210000121201200202111
4101110330232130010
5301100344333210
612314055150404
71226023343530
oct212474563404
953017650674
1018605074180
117988096670
123732975404
1319a66b4944
14c86d34bc0
1573d57988a
hex454f2e704

18605074180 has 96 divisors (see below), whose sum is σ = 48777603840. Its totient is φ = 5791111680.

The previous prime is 18605074171. The next prime is 18605074199. The reversal of 18605074180 is 8147050681.

It is a super-2 number, since 2×186050741802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182606 + ... + 1198234.

It is an arithmetic number, because the mean of its divisors is an integer number (508100040).

Almost surely, 218605074180 is an apocalyptic number.

18605074180 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 18605074180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24388801920).

18605074180 is an abundant number, since it is smaller than the sum of its proper divisors (30172529660).

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

18605074180 is a wasteful number, since it uses less digits than its factorization.

18605074180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16429 (or 16427 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 18605074180 in words is "eighteen billion, six hundred five million, seventy-four thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 773 1540 1546 3092 3865 5411 7730 8503 10822 15460 15629 17006 21644 27055 31258 34012 42515 54110 59521 62516 78145 85030 108220 109403 119042 156290 170060 171919 218806 238084 297605 312580 343838 437612 547015 595210 687676 859595 1094030 1190420 1203433 1719190 2188060 2406866 3438380 4813732 6017165 12034330 12081217 24068660 24162434 48324868 60406085 84568519 120812170 132893387 169137038 241624340 265786774 338274076 422842595 531573548 664466935 845685190 930253709 1328933870 1691370380 1860507418 2657867740 3721014836 4651268545 9302537090 18605074180