Search a number
-
+
284317380945 = 325134312788997
BaseRepresentation
bin1000010001100101010…
…00101111000101010001
31000011212120022102202100
410020302220233011101
514124240222142240
6334340312111013
726353435602033
oct4106250570521
91004776272670
10284317380945
11aa63a827504
1247129395469
1320a70a4a770
14da923c9c53
1575e09abe30
hex4232a2f151

284317380945 has 96 divisors (see below), whose sum is σ = 547350515712. Its totient is φ = 135638447616.

The previous prime is 284317380887. The next prime is 284317380961. The reversal of 284317380945 is 549083713482.

It is a happy number.

284317380945 is a `hidden beast` number, since 28 + 431 + 73 + 80 + 9 + 45 = 666.

It is not a de Polignac number, because 284317380945 - 29 = 284317380433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 284317380891 and 284317380900.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3150187 + ... + 3239183.

It is an arithmetic number, because the mean of its divisors is an integer number (5701567872).

Almost surely, 2284317380945 is an apocalyptic number.

It is an amenable number.

284317380945 is a deficient number, since it is larger than the sum of its proper divisors (263033134767).

284317380945 is a wasteful number, since it uses less digits than its factorization.

284317380945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89191 (or 89188 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 284317380945 in words is "two hundred eighty-four billion, three hundred seventeen million, three hundred eighty thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 39 43 45 65 117 127 129 195 215 381 387 559 585 635 645 1143 1651 1677 1905 1935 2795 4953 5031 5461 5715 8255 8385 14859 16383 24765 25155 27305 49149 70993 74295 81915 88997 212979 245745 266991 354965 444985 638937 800973 1064895 1156961 1334955 3194685 3470883 3826871 4004865 5784805 10412649 11302619 11480613 17354415 19134355 33907857 34441839 49749323 52063245 56513095 57403065 101723571 146934047 149247969 169539285 172209195 248746615 440802141 447743907 486012617 508617855 734670235 746239845 1322406423 1458037851 2204010705 2238719535 2430063085 4374113553 6318164021 6612032115 7290189255 18954492063 21870567765 31590820105 56863476189 94772460315 284317380945