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6858080256 = 2173107163
BaseRepresentation
bin1100110001100011…
…00000000000000000
3122200221200120111110
412120301200000000
5103021132032011
63052304243320
7331643502036
oct63061400000
918627616443
106858080256
1129aa231225
1213b4910540
13853aa5b71
14490b76556
152a2133ba6
hex198c60000

6858080256 has 144 divisors (see below), whose sum is σ = 18572307264. Its totient is φ = 2250768384.

The previous prime is 6858080249. The next prime is 6858080303. The reversal of 6858080256 is 6520808586.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42074031 + ... + 42074193.

It is an arithmetic number, because the mean of its divisors is an integer number (128974356).

Almost surely, 26858080256 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 6858080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286153632).

6858080256 is an abundant number, since it is smaller than the sum of its proper divisors (11714227008).

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

6858080256 is an equidigital number, since it uses as much as digits as its factorization.

6858080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 6858080256 is about 82813.5270109902. The cubic root of 6858080256 is about 1899.9150706266.

The spelling of 6858080256 in words is "six billion, eight hundred fifty-eight million, eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 163 192 214 256 321 326 384 428 489 512 642 652 768 856 978 1024 1284 1304 1536 1712 1956 2048 2568 2608 3072 3424 3912 4096 5136 5216 6144 6848 7824 8192 10272 10432 12288 13696 15648 16384 17441 20544 20864 24576 27392 31296 32768 34882 41088 41728 49152 52323 54784 62592 65536 69764 82176 83456 98304 104646 109568 125184 131072 139528 164352 166912 196608 209292 219136 250368 279056 328704 333824 393216 418584 438272 500736 558112 657408 667648 837168 876544 1001472 1116224 1314816 1335296 1674336 1753088 2002944 2232448 2629632 2670592 3348672 3506176 4005888 4464896 5259264 5341184 6697344 7012352 8011776 8929792 10518528 10682368 13394688 14024704 16023552 17859584 21037056 21364736 26789376 32047104 35719168 42074112 53578752 64094208 71438336 107157504 142876672 214315008 285753344 428630016 571506688 857260032 1143013376 1714520064 2286026752 3429040128 6858080256