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18444106300 = 22527917913043
BaseRepresentation
bin10001001011010110…
…101011101000111100
31202121101211200100011
4101023112223220330
5300233142400200
612250105113004
71222030213444
oct211326535074
952541750304
1018444106300
117905243064
1236a8a88764
13197c245789
14c6d7d3124
1572e3805ba
hex44b5aba3c

18444106300 has 72 divisors (see below), whose sum is σ = 40759891200. Its totient is φ = 7243005120.

The previous prime is 18444106277. The next prime is 18444106313. The reversal of 18444106300 is 360144481.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407579 + ... + 1420621.

It is an arithmetic number, because the mean of its divisors is an integer number (566109600).

Almost surely, 218444106300 is an apocalyptic number.

18444106300 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 18444106300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379945600).

18444106300 is an abundant number, since it is smaller than the sum of its proper divisors (22315784900).

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

18444106300 is a wasteful number, since it uses less digits than its factorization.

18444106300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13315 (or 13308 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 18444106300 in words is "eighteen billion, four hundred forty-four million, one hundred six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 179 316 358 395 716 790 895 1580 1790 1975 3580 3950 4475 7900 8950 13043 14141 17900 26086 28282 52172 56564 65215 70705 130430 141410 260860 282820 326075 353525 652150 707050 1030397 1304300 1414100 2060794 2334697 4121588 4669394 5151985 9338788 10303970 11673485 20607940 23346970 25759925 46693940 51519850 58367425 103039700 116734850 184441063 233469700 368882126 737764252 922205315 1844410630 3688821260 4611026575 9222053150 18444106300