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6809219824 = 24112792112
BaseRepresentation
bin1100101011101110…
…00111001011110000
3122120112202012120211
412111313013023300
5102421130013244
63043401113504
7330511261561
oct62567071360
918515665524
106809219824
112984699700
1213a0488894
13846929374
14488498168
1529cbd1934
hex195dc72f0

6809219824 has 90 divisors (see below), whose sum is σ = 14754732720. Its totient is φ = 3041438400.

The previous prime is 6809219777. The next prime is 6809219861. The reversal of 6809219824 is 4289129086.

It is a super-2 number, since 2×68092198242 = 92730949223109181952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32271079 + ... + 32271289.

Almost surely, 26809219824 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 6809219824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377366360).

6809219824 is an abundant number, since it is smaller than the sum of its proper divisors (7945512896).

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

6809219824 is a wasteful number, since it uses less digits than its factorization.

6809219824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 6809219824 is about 82517.9969703579. The cubic root of 6809219824 is about 1895.3923275295.

The spelling of 6809219824 in words is "six billion, eight hundred nine million, two hundred nineteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 79 88 121 158 176 211 242 316 422 484 632 844 869 968 1264 1688 1738 1936 2321 3376 3476 4642 6952 9284 9559 13904 16669 18568 19118 25531 33338 37136 38236 44521 51062 66676 76472 89042 102124 133352 152944 178084 183359 204248 266704 356168 366718 408496 489731 712336 733436 979462 1466872 1958924 2016949 2933744 3517159 3917848 4033898 5387041 7034318 7835696 8067796 10774082 14068636 16135592 21548164 28137272 32271184 38688749 43096328 56274544 77377498 86192656 154754996 309509992 425576239 619019984 851152478 1702304956 3404609912 6809219824