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26809012224 = 21232727241
BaseRepresentation
bin11000111101111100…
…010001000000000000
32120012100212221001200
4120331330101000000
5414401101342344
620152122101200
71636231562331
oct307574210000
976170787050
1026809012224
1110407a96755
12524234a800
1326b3260657
141424728288
15a6d90b069
hex63df11000

26809012224 has 78 divisors (see below), whose sum is σ = 77438909886. Its totient is φ = 8936325120.

The previous prime is 26809012211. The next prime is 26809012229. The reversal of 26809012224 is 42221090862.

It can be written as a sum of positive squares in only one way, i.e., 25334452224 + 1474560000 = 159168^2 + 38400^2 .

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

It is not an unprimeable number, because it can be changed into a prime (26809012229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 326757 + ... + 400484.

It is an arithmetic number, because the mean of its divisors is an integer number (992806537).

Almost surely, 226809012224 is an apocalyptic number.

26809012224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26809012224 is an abundant number, since it is smaller than the sum of its proper divisors (50629897662).

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

26809012224 is an equidigital number, since it uses as much as digits as its factorization.

26809012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727271 (or 727246 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 26809012224 in words is "twenty-six billion, eight hundred nine million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 727241 1454482 2181723 2908964 4363446 5817928 6545169 8726892 11635856 13090338 17453784 23271712 26180676 34907568 46543424 52361352 69815136 93086848 104722704 139630272 186173696 209445408 279260544 372347392 418890816 558521088 744694784 837781632 1117042176 1489389568 1675563264 2234084352 2978779136 3351126528 4468168704 6702253056 8936337408 13404506112 26809012224