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86814571984 = 2472331235069
BaseRepresentation
bin101000011011010001…
…1010011110111010000
322022002020221012100221
41100312203103313100
52410244012300414
6103514305322424
76162226454260
oct1206643236720
9268066835327
1086814571984
11338aa620958
12149aa036414
138256bb632a
1442b7c277a0
1523d18ab224
hex14368d3dd0

86814571984 has 120 divisors (see below), whose sum is σ = 207275483520. Its totient is φ = 34439581440.

The previous prime is 86814571979. The next prime is 86814572041. The reversal of 86814571984 is 48917541868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2458002 + ... + 2493070.

It is an arithmetic number, because the mean of its divisors is an integer number (1727295696).

Almost surely, 286814571984 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 86814571984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103637741760).

86814571984 is an abundant number, since it is smaller than the sum of its proper divisors (120460911536).

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

86814571984 is a wasteful number, since it uses less digits than its factorization.

86814571984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35169 (or 35132 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 61.

The spelling of 86814571984 in words is "eighty-six billion, eight hundred fourteen million, five hundred seventy-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 112 124 161 184 217 248 322 368 434 496 644 713 868 961 1288 1426 1736 1922 2576 2852 3472 3844 4991 5704 6727 7688 9982 11408 13454 15376 19964 22103 26908 35069 39928 44206 53816 70138 79856 88412 107632 140276 154721 176824 245483 280552 309442 353648 490966 561104 618884 806587 981932 1087139 1237768 1613174 1963864 2174278 2475536 3226348 3927728 4348556 5646109 6452696 7609973 8697112 11292218 12905392 15219946 17394224 22584436 25004197 30439892 33701309 45168872 50008394 60879784 67402618 90337744 100016788 121759568 134805236 175029379 200033576 235909163 269610472 350058758 400067152 471818326 539220944 700117516 775130107 943636652 1400235032 1550260214 1887273304 2800470064 3100520428 3774546608 5425910749 6201040856 10851821498 12402081712 21703642996 43407285992 86814571984