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1938150018 = 237729043
BaseRepresentation
bin111001110000101…
…1101001010000010
312000001222020000000
41303201131022002
512432131300033
6520153140430
766013001100
oct16341351202
95001866000
101938150018
11905042882
124610ba716
1324b70033c
14145598c70
15b5246a13
hex7385d282

1938150018 has 96 divisors (see below), whose sum is σ = 5072598720. Its totient is φ = 553695912.

The previous prime is 1938150007. The next prime is 1938150023. The reversal of 1938150018 is 8100518391.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209805 + ... + 218847.

It is an arithmetic number, because the mean of its divisors is an integer number (52839570).

Almost surely, 21938150018 is an apocalyptic number.

1938150018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1938150018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536299360).

1938150018 is an abundant number, since it is smaller than the sum of its proper divisors (3134448702).

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

1938150018 is an frugal number, since it uses more digits than its factorization.

1938150018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1938150018 is about 44024.4252432669. The cubic root of 1938150018 is about 1246.7971375202.

The spelling of 1938150018 in words is "one billion, nine hundred thirty-eight million, one hundred fifty thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1134 1323 1458 1701 2187 2646 3402 3969 4374 5103 7938 9043 10206 11907 15309 18086 23814 27129 30618 35721 54258 63301 71442 81387 107163 126602 162774 189903 214326 244161 379806 443107 488322 569709 732483 886214 1139418 1329321 1464966 1709127 2197449 2658642 3418254 3987963 4394898 5127381 6592347 7975926 10254762 11963889 13184694 15382143 19777041 23927778 30764286 35891667 39554082 46146429 71783334 92292858 107675001 138439287 215350002 276878574 323025003 646050006 969075009 1938150018