Search a number
-
+
87840100712403 = 32136124194431087
BaseRepresentation
bin10011111110001111011101…
…111111111111111111010011
3102112000102122122111222221100
4103332033131333333333103
543003133011240244103
6510453103555555443
724334144403453544
oct2376173577777723
9375012578458840
1087840100712403
1125a96860957a06
129a27bbbbbbb83
133a0239431c5b0
1417996aac584cb
15a24dc8ba75a3
hex4fe3ddffffd3

87840100712403 has 144 divisors (see below), whose sum is σ = 139691147581440. Its totient is φ = 52873974616320.

The previous prime is 87840100712401. The next prime is 87840100712437. The reversal of 87840100712403 is 30421700104878.

87840100712403 is a `hidden beast` number, since 8 + 78 + 4 + 0 + 100 + 71 + 2 + 403 = 666.

It is not a de Polignac number, because 87840100712403 - 21 = 87840100712401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87840100712401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80809659726 + ... + 80809660812.

It is an arithmetic number, because the mean of its divisors is an integer number (970077413760).

Almost surely, 287840100712403 is an apocalyptic number.

87840100712403 is a deficient number, since it is larger than the sum of its proper divisors (51851046869037).

87840100712403 is a wasteful number, since it uses less digits than its factorization.

87840100712403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 87840100712403 in words is "eighty-seven trillion, eight hundred forty billion, one hundred million, seven hundred twelve thousand, four hundred three".

Divisors: 1 3 9 13 39 61 117 183 419 443 549 793 1087 1257 1329 2379 3261 3721 3771 3987 5447 5759 7137 9783 11163 14131 16341 17277 25559 27023 33489 42393 48373 49023 51831 66307 76677 81069 127179 145119 185617 198921 230031 243207 332267 351299 435357 455453 481541 556851 596763 861991 996801 1053897 1366359 1444623 1559099 1648403 1670553 2413021 2585973 2990403 3161691 4044727 4099077 4333869 4677297 4945209 5920889 6260033 7239063 7757919 11322637 12134181 14031891 14835627 17762667 18780099 20268287 21429239 21717189 27782633 29374001 33967911 36402543 52581451 53288001 56340297 60804861 64287717 83347899 88122003 101903733 147194281 157744353 182414583 192863151 201765679 250043697 264366009 361174229 381862013 441582843 473233059 605297037 690680857 1083522687 1145586039 1324748529 1694740613 1791814061 1815891111 2072042571 2622953827 3250568061 3436758117 5084221839 5375442183 6216127713 7868861481 8978851141 12307706419 15252665517 16126326549 22031627969 23293582793 23606584443 26936553423 36923119257 66094883907 69880748379 80809660269 110769357771 160000183447 198284651721 209642245137 480000550341 750770091559 1440001651023 2252310274677 6756930824031 9760011190267 29280033570801 87840100712403