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678800064 = 2634382219
BaseRepresentation
bin101000011101011…
…010101011000000
31202022021121122010
4220131122223000
52342233100224
6151205012520
722551463635
oct5035325300
91668247563
10678800064
1131918a598
1216b3b4140
13aa828a57
146621a18c
153e8d5e29
hex2875aac0

678800064 has 56 divisors (see below), whose sum is σ = 1837781440. Its totient is φ = 221001984.

The previous prime is 678800053. The next prime is 678800159. The reversal of 678800064 is 460008876.

It is a junction number, because it is equal to n+sod(n) for n = 678799995 and 678800031.

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 7 ways as a sum of consecutive naturals, for example, 32854 + ... + 49365.

Almost surely, 2678800064 is an apocalyptic number.

678800064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

678800064 is an abundant number, since it is smaller than the sum of its proper divisors (1158981376).

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

678800064 is a wasteful number, since it uses less digits than its factorization.

678800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82277 (or 82267 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 678800064 is about 26053.7917393995. The cubic root of 678800064 is about 878.8483833955.

The spelling of 678800064 in words is "six hundred seventy-eight million, eight hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 82219 164438 246657 328876 493314 657752 986628 1315504 1973256 2631008 3535417 3946512 5262016 7070834 7893024 10606251 14141668 15786048 21212502 28283336 42425004 56566672 84850008 113133344 169700016 226266688 339400032 678800064