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47863206968976 = 243272823612
BaseRepresentation
bin10101110001000000001010…
…11100101111111010010000
320021110200022012002102211100
422320200011130233322100
522233142321441001401
6245444015334544400
713040000613350400
oct1270400534577220
9207420265072740
1047863206968976
11142837435a7453
125450263208100
132092633b384c9
14bb683d40a800
15580072788b86
hex2b880572fe90

47863206968976 has 135 divisors (see below), whose sum is σ = 155821864625193. Its totient is φ = 13675035951360.

The previous prime is 47863206968957. The next prime is 47863206969013. The reversal of 47863206968976 is 67986960236874.

The square root of 47863206968976 is 6918324.

It is a perfect power (a square), and thus also a powerful number.

47863206968976 is a `hidden beast` number, since 47 + 86 + 320 + 6 + 96 + 8 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27440038328976 + 20423168640000 = 5238324^2 + 4519200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47863206968895 and 47863206968904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 581098036 + ... + 581180396.

Almost surely, 247863206968976 is an apocalyptic number.

47863206968976 is the 6918324-th square number.

It is an amenable number.

47863206968976 is an abundant number, since it is smaller than the sum of its proper divisors (107958657656217).

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

47863206968976 is an frugal number, since it uses more digits than its factorization.

47863206968976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164750 (or 82373 counting only the distinct ones).

The product of its (nonzero) digits is 7900913664, while the sum is 81.

The spelling of 47863206968976 in words is "forty-seven trillion, eight hundred sixty-three billion, two hundred six million, nine hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 82361 164722 247083 329444 494166 576527 658888 741249 988332 1153054 1317776 1482498 1729581 1976664 2306108 2964996 3459162 3953328 4035689 4612216 5188743 5929992 6918324 8071378 9224432 10377486 11859984 12107067 13836648 16142756 20754972 24214134 27673296 32285512 36321201 41509944 48428268 64571024 72642402 83019888 96856536 145284804 193713072 290569608 581139216 6783334321 13566668642 20350002963 27133337284 40700005926 47483340247 54266674568 61050008889 81400011852 94966680494 108533349136 122100017778 142450020741 162800023704 189933360988 244200035556 284900041482 325600047408 332383381729 379866721976 427350062223 488400071112 569800082964 664766763458 759733443952 854700124446 976800142224 997150145187 1139600165928 1329533526916 1709400248892 1994300290374 2279200331856 2659067053832 2991450435561 3418800497784 3988600580748 5318134107664 5982900871122 6837600995568 7977201161496 11965801742244 15954402322992 23931603484488 47863206968976