Search a number
-
+
18021988516 = 22724322232
BaseRepresentation
bin10000110010001100…
…011011100010100100
31201111222112212121011
4100302030123202210
5243402112113031
612140145432004
71205413242400
oct206214334244
951458485534
1018021988516
117708a40794
1235ab63b604
13191295bb3c
14c2d712100
1570729d6b1
hex43231b8a4

18021988516 has 81 divisors (see below), whose sum is σ = 37729850571. Its totient is φ = 7510258224.

The previous prime is 18021988511. The next prime is 18021988519. The reversal of 18021988516 is 61588912081.

The square root of 18021988516 is 134246.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 18021988516.

It is not an unprimeable number, because it can be changed into a prime (18021988511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80815981 + ... + 80816203.

Almost surely, 218021988516 is an apocalyptic number.

18021988516 is the 134246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18021988516

18021988516 is an abundant number, since it is smaller than the sum of its proper divisors (19707862055).

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

18021988516 is an equidigital number, since it uses as much as digits as its factorization.

18021988516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 49.

Multiplying 18021988516 by its sum of digits (49), we get a square (883077437284 = 9397222).

18021988516 divided by its sum of digits (49) gives a square (367795684 = 191782).

The spelling of 18021988516 in words is "eighteen billion, twenty-one million, nine hundred eighty-eight thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 223 301 446 602 892 1204 1561 1849 2107 3122 3698 4214 6244 7396 8428 9589 10927 12943 19178 21854 25886 38356 43708 49729 51772 67123 90601 99458 134246 181202 198916 268492 348103 362404 412327 469861 696206 824654 939722 1392412 1649308 1879444 2138347 2436721 2886289 4276694 4873442 5772578 8553388 9746884 11545156 14968429 20204023 29936858 40408046 59873716 80816092 91948921 104779003 183897842 209558006 367795684 419116012 643642447 1287284894 2574569788 4505497129 9010994258 18021988516