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679128768 = 26321916173
BaseRepresentation
bin101000011110101…
…010111011000000
31202022220022112100
4220132222323000
52342324110033
6151220030400
722554333153
oct5036527300
91668808470
10679128768
1131939454a
1216b532400
13aa912556
14662a3c9a
153e94d513
hex287aaec0

679128768 has 84 divisors (see below), whose sum is σ = 1957108608. Its totient is φ = 225154560.

The previous prime is 679128743. The next prime is 679128781. The reversal of 679128768 is 867821976.

It is a super-2 number, since 2×6791287682 = 922431767050395648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106930 + ... + 113102.

It is an arithmetic number, because the mean of its divisors is an integer number (23298912).

Almost surely, 2679128768 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 679128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978554304).

679128768 is an abundant number, since it is smaller than the sum of its proper divisors (1277979840).

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

679128768 is a wasteful number, since it uses less digits than its factorization.

679128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6369 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 679128768 is about 26060.0991556057. The cubic root of 679128768 is about 878.9902191521.

The spelling of 679128768 in words is "six hundred seventy-nine million, one hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 191 192 288 382 573 576 764 1146 1528 1719 2292 3056 3438 4584 6112 6173 6876 9168 12224 12346 13752 18336 18519 24692 27504 36672 37038 49384 55008 55557 74076 98768 110016 111114 148152 197536 222228 296304 395072 444456 592608 888912 1179043 1185216 1777824 2358086 3537129 3555648 4716172 7074258 9432344 10611387 14148516 18864688 21222774 28297032 37729376 42445548 56594064 75458752 84891096 113188128 169782192 226376256 339564384 679128768