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6479808256 = 28295571567
BaseRepresentation
bin1100000100011101…
…00000011100000000
3121201120220100212101
412002032200130000
5101232312331011
62550552440144
7316401314155
oct60216403400
917646810771
106479808256
112825756939
12130a0a9054
137c360138c
1445682a22c
1527dd132c1
hex1823a0700

6479808256 has 72 divisors (see below), whose sum is σ = 13412891520. Its totient is φ = 3120574464.

The previous prime is 6479808221. The next prime is 6479808301. The reversal of 6479808256 is 6528089746.

It is a junction number, because it is equal to n+sod(n) for n = 6479808197 and 6479808206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4134385 + ... + 4135951.

It is an arithmetic number, because the mean of its divisors is an integer number (186290160).

Almost surely, 26479808256 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 6479808256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706445760).

6479808256 is an abundant number, since it is smaller than the sum of its proper divisors (6933083264).

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

6479808256 is a wasteful number, since it uses less digits than its factorization.

6479808256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The square root of 6479808256 is about 80497.2562016868. The cubic root of 6479808256 is about 1864.3211147122.

The spelling of 6479808256 in words is "six billion, four hundred seventy-nine million, eight hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 557 928 1114 1567 1856 2228 3134 3712 4456 6268 7424 8912 12536 16153 17824 25072 32306 35648 45443 50144 64612 71296 90886 100288 129224 142592 181772 200576 258448 363544 401152 516896 727088 872819 1033792 1454176 1745638 2067584 2908352 3491276 4135168 5816704 6982552 11633408 13965104 25311751 27930208 50623502 55860416 101247004 111720832 202494008 223441664 404988016 809976032 1619952064 3239904128 6479808256