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86855487705 = 335795872
BaseRepresentation
bin101000011100011111…
…1011001000011011001
322022012002220221012000
41100320333121003121
52410340001101310
6103522330311213
76163234315140
oct1207077310331
9268162827160
1086855487705
11339207274a8
12149bb888509
13826251090c
1442bd438757
1523d528e4c0
hex1438fd90d9

86855487705 has 48 divisors (see below), whose sum is σ = 176486701440. Its totient is φ = 39701224224.

The previous prime is 86855487679. The next prime is 86855487743. The reversal of 86855487705 is 50778455868.

86855487705 is a `hidden beast` number, since 8 + 6 + 8 + 554 + 8 + 7 + 70 + 5 = 666.

It is not a de Polignac number, because 86855487705 - 28 = 86855487449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 9054922 + ... + 9064508.

It is an arithmetic number, because the mean of its divisors is an integer number (3676806280).

Almost surely, 286855487705 is an apocalyptic number.

It is an amenable number.

86855487705 is an abundant number, since it is smaller than the sum of its proper divisors (89631213735).

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

86855487705 is an frugal number, since it uses more digits than its factorization.

86855487705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19195 (or 9602 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 86855487705 in words is "eighty-six billion, eight hundred fifty-five million, four hundred eighty-seven thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 9587 28761 47935 67109 86283 143805 201327 258849 335545 431415 603981 1006635 1294245 1811943 3019905 9059715 91910569 275731707 459552845 643373983 827195121 1378658535 1930121949 2481585363 3216869915 4135975605 5790365847 9650609745 12407926815 17371097541 28951829235 86855487705