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86171318233 = 71113231213611
BaseRepresentation
bin101000001000000110…
…1011111011111011001
322020102102112112002221
41100100031133133121
52402434324140413
6103330410224041
76140256056020
oct1202015373731
9266372475087
1086171318233
11335aa50a890
121484a725021
138183854c00
1442566218b7
15239519768d
hex141035f7d9

86171318233 has 48 divisors (see below), whose sum is σ = 120087539712. Its totient is φ = 59981688000.

The previous prime is 86171318201. The next prime is 86171318249. The reversal of 86171318233 is 33281317168.

It is not a de Polignac number, because 86171318233 - 25 = 86171318201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86171318233.

It is not an unprimeable number, because it can be changed into a prime (86171318833) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 296598 + ... + 510208.

It is an arithmetic number, because the mean of its divisors is an integer number (2501823744).

Almost surely, 286171318233 is an apocalyptic number.

It is an amenable number.

86171318233 is a deficient number, since it is larger than the sum of its proper divisors (33916221479).

86171318233 is a wasteful number, since it uses less digits than its factorization.

86171318233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213686 (or 213673 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

It can be divided in two parts, 86171 and 318233, that added together give a palindrome (404404).

The spelling of 86171318233 in words is "eighty-six billion, one hundred seventy-one million, three hundred eighteen thousand, two hundred thirty-three".

Divisors: 1 7 11 13 31 77 91 143 169 217 341 403 1001 1183 1859 2387 2821 4433 5239 13013 31031 36673 57629 213611 403403 1495277 2349721 2776943 6621941 16448047 19438601 30546373 36100259 46353587 72841351 86085233 213824611 252701813 397102849 509889457 602596631 946937563 1119108029 2779719943 6628562941 7833756203 12310188319 86171318233