Search a number
-
+
428082430986 = 23279757116133
BaseRepresentation
bin1100011101010111011…
…00111000010000001010
31111220221210121200012100
412032223230320100022
524003203100242421
6524354112054230
742633165424440
oct6165354702012
91456853550170
10428082430986
11155604410451
126ab6bb34376
13314a265ab02
1416a0da8cb90
15b206ee3c26
hex63abb3840a

428082430986 has 96 divisors (see below), whose sum is σ = 1071303787008. Its totient is φ = 121007416320.

The previous prime is 428082430967. The next prime is 428082431017. The reversal of 428082430986 is 689034280824.

428082430986 is a `hidden beast` number, since 42 + 8 + 0 + 82 + 430 + 98 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69796776 + ... + 69802908.

It is an arithmetic number, because the mean of its divisors is an integer number (11159414448).

Almost surely, 2428082430986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428082430986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535651893504).

428082430986 is an abundant number, since it is smaller than the sum of its proper divisors (643221356022).

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

428082430986 is a wasteful number, since it uses less digits than its factorization.

428082430986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11956 (or 11953 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 428082430986 in words is "four hundred twenty-eight billion, eighty-two million, four hundred thirty thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 5711 6111 6133 11422 12222 12266 17133 18399 34266 36798 39977 42931 51399 55197 79954 85862 102798 110394 119931 128793 239862 257586 359793 386379 553967 594901 719586 772758 1107934 1189802 1661901 1784703 3323802 3569406 3877769 4164307 4985703 5354109 7755538 8328614 9971406 10708218 11633307 12492921 23266614 24985842 34899921 35025563 37478763 69799842 70051126 74957526 105076689 210153378 245178941 315230067 490357882 630460134 735536823 1471073646 2206610469 3397479611 4413220938 6794959222 10192438833 20384877666 23782357277 30577316499 47564714554 61154632998 71347071831 142694143662 214041215493 428082430986