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26214105225 = 35271114473137
BaseRepresentation
bin11000011010011110…
…111000000010001001
32111122220110112002010
4120122132320002021
5412141302331400
620013111130133
71615416134520
oct303236700211
974586415063
1026214105225
11101321a7280
1250b7073949
132619c28c89
1413a97094b7
15a36597450
hex61a7b8089

26214105225 has 96 divisors (see below), whose sum is σ = 54089680896. Its totient is φ = 10883174400.

The previous prime is 26214105191. The next prime is 26214105257. The reversal of 26214105225 is 52250141262.

It is not a de Polignac number, because 26214105225 - 26 = 26214105161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26214105192 and 26214105201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8354857 + ... + 8357993.

It is an arithmetic number, because the mean of its divisors is an integer number (563434176).

Almost surely, 226214105225 is an apocalyptic number.

26214105225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26214105225 is an abundant number, since it is smaller than the sum of its proper divisors (27875575671).

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

26214105225 is a wasteful number, since it uses less digits than its factorization.

26214105225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 26214105225 its reverse (52250141262), we get a palindrome (78464246487).

The spelling of 26214105225 in words is "twenty-six billion, two hundred fourteen million, one hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1447 1925 3137 4341 5775 7235 9411 10129 15685 15917 21705 21959 30387 34507 36175 47055 47751 50645 65877 78425 79585 103521 108525 109795 111419 151935 172535 235275 238755 241549 253225 329385 334257 397925 517605 548975 557095 724647 759675 862675 1193775 1207745 1646925 1671285 2588025 2785475 3623235 4539239 6038725 8356425 13617717 18116175 22696195 31774673 49931629 68088585 95324019 113480975 149794887 158873365 249658145 340442925 349521403 476620095 748974435 794366825 1048564209 1248290725 1747607015 2383100475 3744872175 5242821045 8738035075 26214105225