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216864856656 = 24337193774451
BaseRepresentation
bin1100100111111000100…
…1110001101001010000
3202201202200111011121000
43021332021301221100
512023114400403111
6243343142302000
721445053603210
oct3117611615120
9681680434530
10216864856656
1183a76615668
1236043727900
13175b13159b6
14a6d3c62240
155993d53c56
hex327e271a50

216864856656 has 160 divisors (see below), whose sum is σ = 748851276800. Its totient is φ = 58700246400.

The previous prime is 216864856577. The next prime is 216864856711. The reversal of 216864856656 is 656658468612.

It is a happy number.

216864856656 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 64 + 8 + 566 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 216864856593 and 216864856602.

It is a congruent number.

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, 1829770 + ... + 1944681.

It is an arithmetic number, because the mean of its divisors is an integer number (4680320480).

Almost surely, 2216864856656 is an apocalyptic number.

It is an amenable number.

216864856656 is an abundant number, since it is smaller than the sum of its proper divisors (531986420144).

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

216864856656 is a wasteful number, since it uses less digits than its factorization.

216864856656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774494 (or 3774482 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 216864856656 in words is "two hundred sixteen billion, eight hundred sixty-four million, eight hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456 3774451 7548902 11323353 15097804 22646706 26421157 30195608 33970059 45293412 52842314 60391216 67940118 71714569 79263471 90586824 101910177 105684628 135880236 143429138 158526942 181173648 203820354 211369256 215143707 237790413 271760472 286858276 317053884 407640708 422738512 430287414 475580826 502001983 543520944 573716552 634107768 645431121 713371239 815281416 860574828 951161652 1004003966 1147433104 1268215536 1290862242 1426742478 1506005949 1630562832 1721149656 1902323304 1936293363 2008007932 2581724484 2853484956 3012011898 3442299312 3804646608 3872586726 4016015864 4518017847 5163448968 5706969912 6024023796 7745173452 8032031728 9036035694 10326897936 11413939824 12048047592 13554053541 15490346904 18072071388 24096095184 27108107082 30980693808 36144142776 54216214164 72288285552 108432428328 216864856656