Search a number
-
+
17868230000 = 24546726669
BaseRepresentation
bin10000101001000001…
…111000110101110000
31201010021020010120022
4100221001320311300
5243043231330000
612113014103012
71201535310005
oct205101706560
951107203508
1017868230000
11763a171735
12356804aa68
1318b9b4527a
14c171298ac
156e8a2a585
hex429078d70

17868230000 has 100 divisors (see below), whose sum is σ = 43908101160. Its totient is φ = 7040352000.

The previous prime is 17868229993. The next prime is 17868230011. The reversal of 17868230000 is 3286871.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 656666 + ... + 683334.

Almost surely, 217868230000 is an apocalyptic number.

17868230000 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 17868230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954050580).

17868230000 is an abundant number, since it is smaller than the sum of its proper divisors (26039871160).

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

17868230000 is an equidigital number, since it uses as much as digits as its factorization.

17868230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26764 (or 26743 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 17868230000 in words is "seventeen billion, eight hundred sixty-eight million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 625 670 1000 1072 1250 1340 1675 2000 2500 2680 3350 5000 5360 6700 8375 10000 13400 16750 26669 26800 33500 41875 53338 67000 83750 106676 133345 134000 167500 213352 266690 335000 426704 533380 666725 670000 1066760 1333450 1786823 2133520 2666900 3333625 3573646 5333800 6667250 7147292 8934115 10667600 13334500 14294584 16668125 17868230 26669000 28589168 33336250 35736460 44670575 53338000 66672500 71472920 89341150 133345000 142945840 178682300 223352875 266690000 357364600 446705750 714729200 893411500 1116764375 1786823000 2233528750 3573646000 4467057500 8934115000 17868230000