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86075643648 = 283129786413
BaseRepresentation
bin101000000101010000…
…0100001011100000000
322020011202111202020210
41100022200201130000
52402240331044043
6103313111434120
76135014620251
oct1201240413400
9266152452223
1086075643648
1133560503085
1214822685940
138169a97127
144247a38b28
15238ba99633
hex140a821700

86075643648 has 72 divisors (see below), whose sum is σ = 229266020368. Its totient is φ = 28669427712.

The previous prime is 86075643637. The next prime is 86075643653. The reversal of 86075643648 is 84634657068.

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, 952890 + ... + 1039302.

Almost surely, 286075643648 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 86075643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114633010184).

86075643648 is an abundant number, since it is smaller than the sum of its proper divisors (143190376720).

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

86075643648 is a wasteful number, since it uses less digits than its factorization.

86075643648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87729 (or 87715 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 86075643648 in words is "eighty-six billion, seventy-five million, six hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1297 2594 3891 5188 7782 10376 15564 20752 31128 41504 62256 83008 86413 124512 166016 172826 249024 259239 332032 345652 498048 518478 691304 996096 1036956 1382608 2073912 2765216 4147824 5530432 8295648 11060864 16591296 22121728 33182592 66365184 112077661 224155322 336232983 448310644 672465966 896621288 1344931932 1793242576 2689863864 3586485152 5379727728 7172970304 10759455456 14345940608 21518910912 28691881216 43037821824 86075643648