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2808160056 = 2333135318869
BaseRepresentation
bin1010011101100001…
…0001111100111000
321020201001022102000
42213120101330320
521222342110211
61142352341000
7126405652362
oct24730217470
97221038360
102808160056
111211151239
12664544760
13359a26490
141c8d49d32
151167ec656
hexa7611f38

2808160056 has 128 divisors (see below), whose sum is σ = 8559432000. Its totient is φ = 847701504.

The previous prime is 2808160039. The next prime is 2808160063. The reversal of 2808160056 is 6500618082.

It is a happy number.

2808160056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28081600562 = 15771525800227846272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2808160056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139390 + ... + 158258.

Almost surely, 22808160056 is an apocalyptic number.

2808160056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2808160056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279716000).

2808160056 is an abundant number, since it is smaller than the sum of its proper divisors (5751271944).

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

2808160056 is a wasteful number, since it uses less digits than its factorization.

2808160056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18950 (or 18940 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2808160056 is about 52992.0754075550. The cubic root of 2808160056 is about 1410.8276173386.

The spelling of 2808160056 in words is "two billion, eight hundred eight million, one hundred sixty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 104 106 108 117 156 159 212 216 234 312 318 351 424 468 477 636 689 702 936 954 1272 1378 1404 1431 1908 2067 2756 2808 2862 3816 4134 5512 5724 6201 8268 11448 12402 16536 18603 18869 24804 37206 37738 49608 56607 74412 75476 113214 148824 150952 169821 226428 245297 339642 452856 490594 509463 679284 735891 981188 1000057 1018926 1358568 1471782 1962376 2000114 2037852 2207673 2943564 3000171 4000228 4075704 4415346 5887128 6000342 6623019 8000456 8830692 9000513 12000684 13000741 13246038 17661384 18001026 24001368 26001482 26492076 27001539 36002052 39002223 52002964 52984152 54003078 72004104 78004446 104005928 108006156 117006669 156008892 216012312 234013338 312017784 351020007 468026676 702040014 936053352 1404080028 2808160056