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6780296656 = 247711635231
BaseRepresentation
bin1100101000010001…
…10001110111010000
3122111112022202110101
412110020301313100
5102341223443111
63040445142144
7330010366510
oct62410616720
918445282411
106780296656
11296a334261
12139285a954
13840940573
144846c9840
1529a3bbbc1
hex194231dd0

6780296656 has 80 divisors (see below), whose sum is σ = 15321305088. Its totient is φ = 2846793600.

The previous prime is 6780296641. The next prime is 6780296659. The reversal of 6780296656 is 6566920876.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6780296597 and 6780296606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6780296659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293561 + ... + 1298791.

Almost surely, 26780296656 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 6780296656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660652544).

6780296656 is an abundant number, since it is smaller than the sum of its proper divisors (8541008432).

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

6780296656 is a wasteful number, since it uses less digits than its factorization.

6780296656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The square root of 6780296656 is about 82342.5567735178. The cubic root of 6780296656 is about 1892.7048657463.

The spelling of 6780296656 in words is "six billion, seven hundred eighty million, two hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 163 284 326 497 568 652 994 1136 1141 1304 1988 2282 2608 3976 4564 5231 7952 9128 10462 11573 18256 20924 23146 36617 41848 46292 73234 81011 83696 92584 146468 162022 185168 292936 324044 371401 585872 648088 742802 852653 1296176 1485604 1705306 2599807 2971208 3410612 5199614 5942416 5968571 6821224 10399228 11937142 13642448 20798456 23874284 41596912 47748568 60538363 95497136 121076726 242153452 423768541 484306904 847537082 968613808 1695074164 3390148328 6780296656