Search a number
-
+
664562006427204 = 223317438417718073
BaseRepresentation
bin1001011100011010100110011…
…0010100110000011001000100
310020011000111200212012222022000
42113012221212110300121010
51144101140442121132304
610313223323205105300
7256660010016230154
oct22706514624603104
93204014625188260
10664562006427204
11182828189594676
126265069b3b8230
13226a7c0b646402
14ba16d8926a764
1551c6bb22e3939
hex25c6a66530644

664562006427204 has 96 divisors (see below), whose sum is σ = 1866713160090240. Its totient is φ = 203641435597824.

The previous prime is 664562006427149. The next prime is 664562006427211. The reversal of 664562006427204 is 402724600265466.

664562006427204 is a `hidden beast` number, since 6 + 6 + 4 + 5 + 6 + 2 + 0 + 0 + 6 + 427 + 204 = 666.

It is a super-2 number, since 2×6645620064272042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4208780089 + ... + 4208937984.

It is an arithmetic number, because the mean of its divisors is an integer number (19444928750940).

Almost surely, 2664562006427204 is an apocalyptic number.

It is an amenable number.

664562006427204 is an abundant number, since it is smaller than the sum of its proper divisors (1202151153663036).

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

664562006427204 is a wasteful number, since it uses less digits than its factorization.

664562006427204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417718146 (or 8417718138 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 664562006427204 in words is "six hundred sixty-four trillion, five hundred sixty-two billion, six million, four hundred twenty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 51 54 68 86 102 108 129 153 172 204 258 306 387 459 516 612 731 774 918 1161 1462 1548 1836 2193 2322 2924 4386 4644 6579 8772 13158 19737 26316 39474 78948 8417718073 16835436146 25253154219 33670872292 50506308438 75759462657 101012616876 143101207241 151518925314 227278387971 286202414482 303037850628 361961877139 429303621723 454556775942 572404828964 723923754278 858607243446 909113551884 1085885631417 1287910865169 1447847508556 1717214486892 2171771262834 2575821730338 3257656894251 3863732595507 4343542525668 5151643460676 6153351911363 6515313788502 7727465191014 9772970682753 12306703822726 13030627577004 15454930382028 18460055734089 19545941365506 24613407645452 36920111468178 39091882731012 55380167202267 73840222936356 110760334404534 166140501606801 221520668809068 332281003213602 664562006427204