Search a number
-
+
6794780874976 = 253112207309359
BaseRepresentation
bin110001011100000100010…
…0000000001100011100000
3220001120111221222021022001
41202320020200001203200
51342311202400444401
622241251303253344
71300623001325233
oct142701040014340
926046457867261
106794780874976
11218a717734286
12918a5a44a254
133a398bc584c3
14196c24d3341a
15bbb33e8c601
hex62e088018e0

6794780874976 has 48 divisors (see below), whose sum is σ = 13426362593280. Its totient is φ = 3384920990080.

The previous prime is 6794780874971. The next prime is 6794780875013.

6794780874976 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×67947808749762 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6794780874976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6794780874971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21809385 + ... + 22118743.

It is an arithmetic number, because the mean of its divisors is an integer number (279715887360).

Almost surely, 26794780874976 is an apocalyptic number.

It is an amenable number.

6794780874976 is a deficient number, since it is larger than the sum of its proper divisors (6631581718304).

6794780874976 is a wasteful number, since it uses less digits than its factorization.

6794780874976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311887 (or 311879 counting only the distinct ones).

The product of its (nonzero) digits is 7169347584, while the sum is 82.

The spelling of 6794780874976 in words is "six trillion, seven hundred ninety-four billion, seven hundred eighty million, eight hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 311 622 1244 2207 2488 4414 4976 8828 9952 17656 35312 70624 309359 618718 686377 1237436 1372754 2474872 2745508 4949744 5491016 9899488 10982032 21964064 96210649 192421298 384842596 682755313 769685192 1365510626 1539370384 2731021252 3078740768 5462042504 10924085008 21848170016 212336902343 424673804686 849347609372 1698695218744 3397390437488 6794780874976