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8678214864 = 2432112498061
BaseRepresentation
bin10000001010100001…
…10000110011010000
3211101210120222210100
420011100300303100
5120233110333424
63553044132400
7425024415654
oct100520606320
924353528710
108678214864
113753698300
121822397100
13a83bc56a7
145c47b0a64
1535bd17dc9
hex205430cd0

8678214864 has 90 divisors (see below), whose sum is σ = 26695625138. Its totient is φ = 2629756800.

The previous prime is 8678214863. The next prime is 8678214871. The reversal of 8678214864 is 4684128768.

8678214864 is a `hidden beast` number, since 86 + 7 + 82 + 1 + 486 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7938810000 + 739404864 = 89100^2 + 27192^2 .

It is a super-2 number, since 2×86782148642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8678214864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8678214863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 231607 + ... + 266454.

Almost surely, 28678214864 is an apocalyptic number.

It is an amenable number.

8678214864 is an abundant number, since it is smaller than the sum of its proper divisors (18017410274).

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

8678214864 is a wasteful number, since it uses less digits than its factorization.

8678214864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498097 (or 498077 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 8678214864 is about 93156.9367465461. The cubic root of 8678214864 is about 2054.9919874659.

The spelling of 8678214864 in words is "eight billion, six hundred seventy-eight million, two hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 498061 996122 1494183 1992244 2988366 3984488 4482549 5478671 5976732 7968976 8965098 10957342 11953464 16436013 17930196 21914684 23906928 32872026 35860392 43829368 49308039 60265381 65744052 71720784 87658736 98616078 120530762 131488104 180796143 197232156 241061524 262976208 361592286 394464312 482123048 542388429 723184572 788928624 964246096 1084776858 1446369144 2169553716 2892738288 4339107432 8678214864