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335680421328 = 243273124773101
BaseRepresentation
bin1001110001010000001…
…11001011110111010000
31012002110010221020021100
410320220013023313100
520444433141440303
6414113124224400
733152321334330
oct4705007136720
91162403836240
10335680421328
1111a3a7934a0a
125508283b100
1325867cc8255
1412365b6b0c0
158ae9d458a3
hex4e281cbdd0

335680421328 has 720 divisors, whose sum is σ = 1159891619328. Its totient is φ = 88708608000.

The previous prime is 335680421257. The next prime is 335680421339. The reversal of 335680421328 is 823124086533.

335680421328 is a `hidden beast` number, since 3 + 356 + 80 + 4 + 213 + 2 + 8 = 666.

It is a super-2 number, since 2×3356804213282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3323568478 + ... + 3323568578.

Almost surely, 2335680421328 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 335680421328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579945809664).

335680421328 is an abundant number, since it is smaller than the sum of its proper divisors (824211198000).

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

335680421328 is a wasteful number, since it uses less digits than its factorization.

335680421328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 335680421328 in words is "three hundred thirty-five billion, six hundred eighty million, four hundred twenty-one thousand, three hundred twenty-eight".