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86286987776 = 2911131116953
BaseRepresentation
bin101000001011100011…
…0101111001000000000
322020201111012010220002
41100113012233020000
52403203432102101
6103350101335132
76143162203013
oct1202706571000
9266644163802
1086286987776
1133659834050
12148814074a8
1381a17c3a22
144267b3137a
1523a03e4d6b
hex14171af200

86286987776 has 80 divisors (see below), whose sum is σ = 189516004128. Its totient is φ = 38921625600.

The previous prime is 86286987739. The next prime is 86286987791. The reversal of 86286987776 is 67778968268.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679316 + ... + 796268.

Almost surely, 286286987776 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 86286987776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94758002064).

86286987776 is an abundant number, since it is smaller than the sum of its proper divisors (103229016352).

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

86286987776 is a wasteful number, since it uses less digits than its factorization.

86286987776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117113 (or 117097 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 74.

The spelling of 86286987776 in words is "eighty-six billion, two hundred eighty-six million, nine hundred eighty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 256 262 352 512 524 704 1048 1408 1441 2096 2816 2882 4192 5632 5764 8384 11528 16768 23056 33536 46112 67072 92224 116953 184448 233906 368896 467812 737792 935624 1286483 1871248 2572966 3742496 5145932 7484992 10291864 14969984 15320843 20583728 29939968 30641686 41167456 59879936 61283372 82334912 122566744 164669824 168529273 245133488 329339648 337058546 490266976 658679296 674117092 980533952 1348234184 1961067904 2696468368 3922135808 5392936736 7844271616 10785873472 21571746944 43143493888 86286987776