Search a number
-
+
6504934910859 = 337311193330853
BaseRepresentation
bin101111010101000110001…
…0101011010101110001011
3212000212101002122201012000
41132222030111122232023
51323034101314121414
621500154214322043
71240652231304000
oct136521425325613
925025332581160
106504934910859
1120888001a0480
12890849659323
133825499c9c68
14186baa5ad8a7
15b431ce66b09
hex5ea8c55ab8b

6504934910859 has 128 divisors (see below), whose sum is σ = 12323649792000. Its totient is φ = 3361668065280.

The previous prime is 6504934910849. The next prime is 6504934910861. The reversal of 6504934910859 is 9580194394056.

6504934910859 is a `hidden beast` number, since 6 + 5 + 0 + 4 + 93 + 491 + 0 + 8 + 59 = 666.

It is not a de Polignac number, because 6504934910859 - 211 = 6504934908811 is a prime.

It is a super-2 number, since 2×65049349108592 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6504934910796 and 6504934910805.

It is not an unprimeable number, because it can be changed into a prime (6504934910809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19495677 + ... + 19826529.

It is an arithmetic number, because the mean of its divisors is an integer number (96278514000).

Almost surely, 26504934910859 is an apocalyptic number.

6504934910859 is a deficient number, since it is larger than the sum of its proper divisors (5818714881141).

6504934910859 is a wasteful number, since it uses less digits than its factorization.

6504934910859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331087 (or 331067 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 6504934910859 in words is "six trillion, five hundred four billion, nine hundred thirty-four million, nine hundred ten thousand, eight hundred fifty-nine".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 193 231 297 343 441 539 579 693 1029 1323 1351 1617 1737 2079 2123 3087 3773 4053 4851 5211 6369 9261 9457 11319 12159 14553 14861 19107 28371 33957 36477 44583 57321 66199 85113 101871 104027 133749 198597 255339 312081 330853 401247 595791 728189 936243 992559 1787373 2184567 2315971 2808729 2977677 3639383 6553701 6947913 8933031 10918149 16211797 19661103 20843739 25475681 32754447 48635391 62531217 63854629 76427043 98263341 113482579 145906173 178329767 191563887 229281129 340447737 437718519 446982403 534989301 574691661 687843387 702400919 1021343211 1248308369 1340947209 1604967903 1724074983 2107202757 3064029633 3128876821 3744925107 4022841627 4814903709 4916806433 6321608271 9386630463 11234775321 12068524881 14750419299 18964824813 21902137747 28159891389 33704325963 34417645031 44251257897 65706413241 84479674167 103252935093 132753773691 197119239723 240923515217 309758805279 591357719169 722770545651 929276415837 2168311636953 6504934910859