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18131410820 = 22519313973877
BaseRepresentation
bin10000111000101101…
…110101111110000100
31201210121110002210002
4100320231311332010
5244113120121240
612155055020432
71211212310015
oct207055657604
951717402702
1018131410820
117764788346
12362020a718
13192c521273
14c4007700c
15711bb4d15
hex438b75f84

18131410820 has 96 divisors (see below), whose sum is σ = 41487774720. Its totient is φ = 6630750720.

The previous prime is 18131410799. The next prime is 18131410841. The reversal of 18131410820 is 2801413181.

It is an interprime number because it is at equal distance from previous prime (18131410799) and next prime (18131410841).

It is a super-2 number, since 2×181314108202 (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, 4674722 + ... + 4678598.

It is an arithmetic number, because the mean of its divisors is an integer number (432164320).

Almost surely, 218131410820 is an apocalyptic number.

18131410820 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 18131410820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20743887360).

18131410820 is an abundant number, since it is smaller than the sum of its proper divisors (23356363900).

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

18131410820 is a wasteful number, since it uses less digits than its factorization.

18131410820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The spelling of 18131410820 in words is "eighteen billion, one hundred thirty-one million, four hundred ten thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 397 589 620 794 1178 1588 1985 2356 2945 3877 3970 5890 7543 7754 7940 11780 12307 15086 15508 19385 24614 30172 37715 38770 49228 61535 73663 75430 77540 120187 123070 147326 150860 233833 240374 246140 294652 368315 467666 480748 600935 736630 935332 1169165 1201870 1473260 1539169 2283553 2338330 2403740 3078338 4567106 4676660 6156676 7695845 9134212 11417765 15391690 22835530 29244211 30783380 45671060 47714239 58488422 95428478 116976844 146221055 190856956 238571195 292442110 477142390 584884220 906570541 954284780 1813141082 3626282164 4532852705 9065705410 18131410820