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6797408409856 = 2847234672
BaseRepresentation
bin110001011101010010100…
…0111010001100100000000
3220001211022002010212112201
41202322211013101210000
51342332043023103411
622242404124402544
71301045055106621
oct142724507214400
926054262125481
106797408409856
112190845926109
129194723a6454
133a3cba41c37c
14196dd3ca1a48
15bbc399ab3c1
hex62ea51d1900

6797408409856 has 81 divisors (see below), whose sum is σ = 13867092924139. Its totient is φ = 3325431905792.

The previous prime is 6797408409793. The next prime is 6797408409917. The reversal of 6797408409856 is 6589048047976.

The square root of 6797408409856 is 2607184.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×67974084098562 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1960600635 + ... + 1960604101.

Almost surely, 26797408409856 is an apocalyptic number.

6797408409856 is the 2607184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6797408409856

6797408409856 is an abundant number, since it is smaller than the sum of its proper divisors (7069684514283).

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

6797408409856 is an frugal number, since it uses more digits than its factorization.

6797408409856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 73.

The spelling of 6797408409856 in words is "six trillion, seven hundred ninety-seven billion, four hundred eight million, four hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 2209 3008 3467 4418 6016 6934 8836 12032 13868 17672 27736 35344 55472 70688 110944 141376 162949 221888 282752 325898 443776 565504 651796 887552 1303592 2607184 5214368 7658603 10428736 12020089 15317206 20857472 24040178 30634412 41714944 48080356 61268824 96160712 122537648 192321424 245075296 384642848 490150592 564944183 769285696 980301184 1129888366 1538571392 1960602368 2259776732 3077142784 4519553464 9039106928 18078213856 26552376601 36156427712 53104753202 72312855424 106209506404 144625710848 212419012808 424838025616 849676051232 1699352102464 3398704204928 6797408409856