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678686688 = 25341913781
BaseRepresentation
bin101000011100111…
…110111111100000
31202022001212010000
4220130332333200
52342220433223
6151202340000
722550512251
oct5034767740
91668055100
10678686688
11319112399
1216b35a600
13aa7b9274
14661cab28
153e8b2543
hex2873efe0

678686688 has 120 divisors (see below), whose sum is σ = 2101203720. Its totient is φ = 214306560.

The previous prime is 678686651. The next prime is 678686711. The reversal of 678686688 is 886686876.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42358 + ... + 56138.

It is an arithmetic number, because the mean of its divisors is an integer number (17510031).

Almost surely, 2678686688 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 678686688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050601860).

678686688 is an abundant number, since it is smaller than the sum of its proper divisors (1422517032).

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

678686688 is a wasteful number, since it uses less digits than its factorization.

678686688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13822 (or 13805 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 678686688 is about 26051.6158424003. The cubic root of 678686688 is about 878.7994510379.

The spelling of 678686688 in words is "six hundred seventy-eight million, six hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 12312 13781 16416 24624 27562 41343 49248 55124 82686 110248 124029 165372 220496 248058 261839 330744 372087 440992 496116 523678 661488 744174 785517 992232 1047356 1116261 1322976 1488348 1571034 1984464 2094712 2232522 2356551 2976696 3142068 3968928 4189424 4465044 4713102 5953392 6284136 7069653 8378848 8930088 9426204 11906784 12568272 14139306 17860176 18852408 21208959 25136544 28278612 35720352 37704816 42417918 56557224 75409632 84835836 113114448 169671672 226228896 339343344 678686688