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86486518476 = 22342318716203
BaseRepresentation
bin101000010001011111…
…1111000101011001100
322021020101122100120000
41100202333320223030
52404111022042401
6103421550124300
76151134164121
oct1204277705314
9267211570500
1086486518476
1133751426456
12149181b0690
138203c45527
144286430748
1523b2baa186
hex1422ff8acc

86486518476 has 120 divisors (see below), whose sum is σ = 236087115264. Its totient is φ = 27556230240.

The previous prime is 86486518423. The next prime is 86486518487. The reversal of 86486518476 is 67481568468.

86486518476 is a `hidden beast` number, since 8 + 6 + 48 + 6 + 518 + 4 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13939591 + ... + 13945793.

Almost surely, 286486518476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86486518476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118043557632).

86486518476 is an abundant number, since it is smaller than the sum of its proper divisors (149600596788).

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

86486518476 is a wasteful number, since it uses less digits than its factorization.

86486518476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113 (or 8102 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 86486518476 in words is "eighty-six billion, four hundred eighty-six million, five hundred eighteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 1871 2484 3726 3742 5613 6203 7452 7484 11226 12406 16839 18609 22452 24812 33678 37218 43033 50517 55827 67356 74436 86066 101034 111654 129099 142669 151551 167481 172132 202068 223308 258198 285338 303102 334962 387297 428007 502443 516396 570676 606204 669924 774594 856014 1004886 1161891 1284021 1549188 1712028 2009772 2323782 2568042 3485673 3852063 4647564 5136084 6971346 7704126 11556189 11605813 13942692 15408252 23112378 23211626 34817439 46224756 46423252 69634878 104452317 139269756 208904634 266933699 313356951 417809268 533867398 626713902 800801097 940070853 1067734796 1253427804 1601602194 1880141706 2402403291 3203204388 3760283412 4804806582 7207209873 9609613164 14414419746 21621629619 28828839492 43243259238 86486518476