Search a number
-
+
17027301330 = 2335134851083
BaseRepresentation
bin11111101101110011…
…11111111111010010
31121221122212112022000
433312321333333102
5234332442120310
611453334054430
71141644446634
oct176671777722
947848775260
1017027301330
117248516566
1233724aa416
1317b4861c40
14b77588a54
15699cbb4c0
hex3f6e7ffd2

17027301330 has 64 divisors (see below), whose sum is σ = 48898926720. Its totient is φ = 4191334848.

The previous prime is 17027301323. The next prime is 17027301331. The reversal of 17027301330 is 3310372071.

17027301330 is a `hidden beast` number, since 1 + 7 + 0 + 27 + 301 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 17027301294 and 17027301303.

It is not an unprimeable number, because it can be changed into a prime (17027301331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2422032 + ... + 2429051.

It is an arithmetic number, because the mean of its divisors is an integer number (764045730).

Almost surely, 217027301330 is an apocalyptic number.

17027301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17027301330 is an abundant number, since it is smaller than the sum of its proper divisors (31871625390).

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

17027301330 is a wasteful number, since it uses less digits than its factorization.

17027301330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851112 (or 4851106 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The spelling of 17027301330 in words is "seventeen billion, twenty-seven million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 4851083 9702166 14553249 24255415 29106498 43659747 48510830 63064079 72766245 87319494 126128158 130979241 145532490 189192237 218298735 261958482 315320395 378384474 436597470 567576711 630640790 654896205 945961185 1135153422 1309792410 1702730133 1891922370 2837883555 3405460266 5675767110 8513650665 17027301330