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18413683968 = 28367449797
BaseRepresentation
bin10001001001100010…
…101000010100000000
31202112021121001202010
4101021202220110000
5300202400341333
612243101052520
71221210505551
oct211142502400
952467531663
1018413683968
11789a054339
12369a857140
131975b534b4
14c69754328
1572b871563
hex4498a8500

18413683968 has 144 divisors (see below), whose sum is σ = 49912027200. Its totient is φ = 6025248768.

The previous prime is 18413683961. The next prime is 18413683973. The reversal of 18413683968 is 86938631481.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18413683961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23103346 + ... + 23104142.

It is an arithmetic number, because the mean of its divisors is an integer number (346611300).

Almost surely, 218413683968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18413683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24956013600).

18413683968 is an abundant number, since it is smaller than the sum of its proper divisors (31498343232).

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

18413683968 is an equidigital number, since it uses as much as digits as its factorization.

18413683968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1318 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The spelling of 18413683968 in words is "eighteen billion, four hundred thirteen million, six hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 449 536 768 797 804 898 1072 1347 1594 1608 1796 2144 2391 2694 3188 3216 3592 4288 4782 5388 6376 6432 7184 8576 9564 10776 12752 12864 14368 17152 19128 21552 25504 25728 28736 30083 38256 43104 51008 51456 53399 57472 60166 76512 86208 90249 102016 106798 114944 120332 153024 160197 172416 180498 204032 213596 240664 306048 320394 344832 357853 360996 427192 481328 612096 640788 715706 721992 854384 962656 1073559 1281576 1431412 1443984 1708768 1925312 2147118 2563152 2862824 2887968 3417536 3850624 4294236 5126304 5725648 5775936 6835072 7701248 8588472 10252608 11451296 11551872 13670144 17176944 20505216 22902592 23103744 23976151 34353888 41010432 45805184 47952302 68707776 71928453 91610368 95904604 137415552 143856906 191809208 274831104 287713812 383618416 575427624 767236832 1150855248 1534473664 2301710496 3068947328 4603420992 6137894656 9206841984 18413683968