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86160006656 = 29499563599
BaseRepresentation
bin101000000111110001…
…0010101111000000000
322020101122020211112122
41100033202111320000
52402423430203111
6103325323543412
76140060654453
oct1201742257000
9266348224478
1086160006656
11335a4094279
121484698ab68
1381813c4379
144254d1949a
1523941b0cdb
hex140f895e00

86160006656 has 80 divisors (see below), whose sum is σ = 173091600000. Its totient is φ = 42845657088.

The previous prime is 86160006637. The next prime is 86160006661. The reversal of 86160006656 is 65660006168.

It is a congruent number.

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, 143839445 + ... + 143840043.

It is an arithmetic number, because the mean of its divisors is an integer number (2163645000).

Almost surely, 286160006656 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 86160006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86545800000).

86160006656 is an abundant number, since it is smaller than the sum of its proper divisors (86931593344).

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

86160006656 is an equidigital number, since it uses as much as digits as its factorization.

86160006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 86160006656 in words is "eighty-six billion, one hundred sixty million, six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 499 512 563 599 998 1126 1198 1996 2252 2396 3992 4504 4792 7984 9008 9584 15968 18016 19168 31936 36032 38336 63872 72064 76672 127744 144128 153344 255488 280937 288256 298901 306688 337237 561874 597802 674474 1123748 1195604 1348948 2247496 2391208 2697896 4494992 4782416 5395792 8989984 9564832 10791584 17979968 19129664 21583168 35959936 38259328 43166336 71919872 76518656 86332672 143839744 153037312 168281263 172665344 336562526 673125052 1346250104 2692500208 5385000416 10770000832 21540001664 43080003328 86160006656