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18256805640 = 23325100950261
BaseRepresentation
bin10001000000001100…
…001011111100001000
31202010100101211010200
4101000030023330020
5244342220240030
612215334412200
71214264200413
oct210014137410
952110354120
1018256805640
117819544327
123656201060
13194c4b6898
14c52998b7a
1571cbd3d60
hex44030bf08

18256805640 has 96 divisors (see below), whose sum is σ = 59394605400. Its totient is φ = 4863559680.

The previous prime is 18256805629. The next prime is 18256805659. The reversal of 18256805640 is 4650865281.

18256805640 is a `hidden beast` number, since 1 + 8 + 2 + 5 + 6 + 80 + 564 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10144921284 + 8111884356 = 100722^2 + 90066^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 338110 + ... + 388370.

Almost surely, 218256805640 is an apocalyptic number.

18256805640 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 18256805640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29697302700).

18256805640 is an abundant number, since it is smaller than the sum of its proper divisors (41137799760).

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

18256805640 is a wasteful number, since it uses less digits than its factorization.

18256805640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51287 (or 51280 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 18256805640 in words is "eighteen billion, two hundred fifty-six million, eight hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1009 2018 3027 4036 5045 6054 8072 9081 10090 12108 15135 18162 20180 24216 30270 36324 40360 45405 50261 60540 72648 90810 100522 121080 150783 181620 201044 251305 301566 363240 402088 452349 502610 603132 753915 904698 1005220 1206264 1507830 1809396 2010440 2261745 3015660 3618792 4523490 6031320 9046980 18093960 50713349 101426698 152140047 202853396 253566745 304280094 405706792 456420141 507133490 608560188 760700235 912840282 1014266980 1217120376 1521400470 1825680564 2028533960 2282100705 3042800940 3651361128 4564201410 6085601880 9128402820 18256805640