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678646864 = 247219291571
BaseRepresentation
bin101000011100110…
…101010001010000
31202021222211111001
4220130311101100
52342213144424
6151201431344
722550255200
oct5034652120
91667884431
10678646864
11319095485
1216b33b554
13aa7a40bc
14661ba400
153e8a5844
hex28735450

678646864 has 120 divisors (see below), whose sum is σ = 1666634400. Its totient is φ = 265870080.

The previous prime is 678646781. The next prime is 678646879. The reversal of 678646864 is 468646876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431199 + ... + 432769.

It is an arithmetic number, because the mean of its divisors is an integer number (13888620).

Almost surely, 2678646864 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 678646864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833317200).

678646864 is an abundant number, since it is smaller than the sum of its proper divisors (987987536).

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

678646864 is a wasteful number, since it uses less digits than its factorization.

678646864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1628 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The square root of 678646864 is about 26050.8515023982. The cubic root of 678646864 is about 878.7822619606.

The spelling of 678646864 in words is "six hundred seventy-eight million, six hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 29 38 49 56 58 76 98 112 116 133 152 196 203 232 266 304 392 406 464 532 551 784 812 931 1064 1102 1421 1571 1624 1862 2128 2204 2842 3142 3248 3724 3857 4408 5684 6284 7448 7714 8816 10997 11368 12568 14896 15428 21994 22736 25136 26999 29849 30856 43988 45559 53998 59698 61712 76979 87976 91118 107996 119396 153958 175952 182236 208943 215992 238792 307916 318913 364472 417886 431984 477584 615832 637826 728944 835772 865621 1231664 1275652 1462601 1671544 1731242 2232391 2551304 2925202 3343088 3462484 4464782 5102608 5850404 6059347 6924968 8929564 11700808 12118694 13849936 17859128 23401616 24237388 35718256 42415429 48474776 84830858 96949552 169661716 339323432 678646864