Search a number
-
+
6464466812328 = 2337431934636579
BaseRepresentation
bin101111000010010000000…
…1111110111110110101000
3211212222220210210022012220
41132010200033313312220
51321403212000443303
621425422434434040
71235020341164310
oct136044017676650
924788823708186
106464466812328
112072623a95048
12884a34a32920
1337b79a981c25
14184c4bb92440
15b3250319053
hex5e1203f7da8

6464466812328 has 128 divisors (see below), whose sum is σ = 18997366502400. Its totient is φ = 1794689519616.

The previous prime is 6464466812261. The next prime is 6464466812357. The reversal of 6464466812328 is 8232186644646.

It is a happy number.

It is a super-3 number, since 3×64644668123283 (a number of 39 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 924058 + ... + 3712521.

It is an arithmetic number, because the mean of its divisors is an integer number (148416925800).

Almost surely, 26464466812328 is an apocalyptic number.

It is an amenable number.

6464466812328 is an abundant number, since it is smaller than the sum of its proper divisors (12532899690072).

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

6464466812328 is a wasteful number, since it uses less digits than its factorization.

6464466812328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636831 (or 4636827 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 60.

The spelling of 6464466812328 in words is "six trillion, four hundred sixty-four billion, four hundred sixty-six million, eight hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 193 258 301 344 386 516 579 602 772 903 1032 1158 1204 1351 1544 1806 2316 2408 2702 3612 4053 4632 5404 7224 8106 8299 10808 16212 16598 24897 32424 33196 49794 58093 66392 99588 116186 174279 199176 232372 348558 464744 697116 1394232 4636579 9273158 13909737 18546316 27819474 32456053 37092632 55638948 64912106 97368159 111277896 129824212 194736318 199372897 259648424 389472636 398745794 598118691 778945272 797491588 894859747 1196237382 1395610279 1594983176 1789719494 2392474764 2684579241 2791220558 3579438988 4186830837 4784949528 5369158482 5582441116 6264018229 7158877976 8373661674 10738316964 11164882232 12528036458 16747323348 18792054687 21476633928 25056072916 33494646696 37584109374 38478969121 50112145832 75168218748 76957938242 115436907363 150336437496 153915876484 230873814726 269352783847 307831752968 461747629452 538705567694 808058351541 923495258904 1077411135388 1616116703082 2154822270776 3232233406164 6464466812328