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86027031296 = 284760711779
BaseRepresentation
bin101000000011110011…
…1000101001100000000
322020001101000222122022
41100013213011030000
52402140410000141
6103304213501012
76133554462263
oct1200747051400
9266041028568
1086027031296
113353601a988
121480a341768
13815c9a651b
1442413c2cda
152387695b4b
hex14079c5300

86027031296 has 72 divisors (see below), whose sum is σ = 175675422720. Its totient is φ = 42025411584.

The previous prime is 86027031281. The next prime is 86027031323. The reversal of 86027031296 is 69213072068.

It is a super-2 number, since 2×860270312962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7297535 + ... + 7309313.

Almost surely, 286027031296 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 86027031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87837711360).

86027031296 is an abundant number, since it is smaller than the sum of its proper divisors (89648391424).

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

86027031296 is a wasteful number, since it uses less digits than its factorization.

86027031296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12435 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 86027031296 in words is "eighty-six billion, twenty-seven million, thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 607 752 1214 1504 2428 3008 4856 6016 9712 11779 12032 19424 23558 28529 38848 47116 57058 77696 94232 114116 155392 188464 228232 376928 456464 553613 753856 912928 1107226 1507712 1825856 2214452 3015424 3651712 4428904 7149853 7303424 8857808 14299706 17715616 28599412 35431232 57198824 70862464 114397648 141724928 228795296 336043091 457590592 672086182 915181184 1344172364 1830362368 2688344728 5376689456 10753378912 21506757824 43013515648 86027031296