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678275664 = 243112294027
BaseRepresentation
bin101000011011011…
…010101001010000
31202021021222021220
4220123122221100
52342114310124
6151145445040
722544151033
oct5033325120
91667258256
10678275664
11318961600
1216b1a0780
13aa6a4161
146612101a
153e830879
hex286daa50

678275664 has 120 divisors (see below), whose sum is σ = 1992893280. Its totient is φ = 198401280.

The previous prime is 678275651. The next prime is 678275723. The reversal of 678275664 is 466572876.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 166419 + ... + 170445.

It is an arithmetic number, because the mean of its divisors is an integer number (16607444).

Almost surely, 2678275664 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 678275664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996446640).

678275664 is an abundant number, since it is smaller than the sum of its proper divisors (1314617616).

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

678275664 is a wasteful number, since it uses less digits than its factorization.

678275664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4072 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 678275664 is about 26043.7260007089. The cubic root of 678275664 is about 878.6220100016.

The spelling of 678275664 in words is "six hundred seventy-eight million, two hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 121 132 174 176 232 242 264 319 348 363 464 484 528 638 696 726 957 968 1276 1392 1452 1914 1936 2552 2904 3509 3828 4027 5104 5808 7018 7656 8054 10527 12081 14036 15312 16108 21054 24162 28072 32216 42108 44297 48324 56144 64432 84216 88594 96648 116783 132891 168432 177188 193296 233566 265782 350349 354376 467132 487267 531564 700698 708752 934264 974534 1063128 1284613 1401396 1461801 1868528 1949068 2126256 2569226 2802792 2923602 3853839 3898136 5138452 5605584 5847204 7707678 7796272 10276904 11694408 14130743 15415356 20553808 23388816 28261486 30830712 42392229 56522972 61661424 84784458 113045944 169568916 226091888 339137832 678275664