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26800826000 = 2453131030801
BaseRepresentation
bin11000111101011101…
…000010011010010000
32120011210111000200012
4120331131002122100
5414342002413000
620151230414052
71636102155644
oct307535023220
976153430605
1026800826000
1110403405283
12523b661328
1326b1655530
1414235d6c24
15a6cd40735
hex63d742690

26800826000 has 80 divisors (see below), whose sum is σ = 69789418608. Its totient is φ = 9895680000.

The previous prime is 26800825993. The next prime is 26800826011. The reversal of 26800826000 is 62800862.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4693894144 + 22106931856 = 68512^2 + 148684^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489401 + ... + 541400.

Almost surely, 226800826000 is an apocalyptic number.

26800826000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26800826000 is an abundant number, since it is smaller than the sum of its proper divisors (42988592608).

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

26800826000 is a wasteful number, since it uses less digits than its factorization.

26800826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030837 (or 1030821 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 26800826000 in words is "twenty-six billion, eight hundred million, eight hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 1030801 2061602 4123204 5154005 8246408 10308010 13400413 16492816 20616020 25770025 26800826 41232040 51540050 53601652 67002065 82464080 103080100 107203304 128850125 134004130 206160200 214406608 257700250 268008260 335010325 412320400 515400500 536016520 670020650 1030801000 1072033040 1340041300 1675051625 2061602000 2680082600 3350103250 5360165200 6700206500 13400413000 26800826000