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26134040133 = 3237418292309
BaseRepresentation
bin11000010101101101…
…011100111001000101
32111110022210210102100
4120111231130321011
5412010303241013
620001131102313
71613424450555
oct302555347105
974408723370
1026134040133
11100a0a91183
1250942a1999
132606475096
14139cc27165
15a2e52e473
hex615b5ce45

26134040133 has 48 divisors (see below), whose sum is σ = 39780140400. Its totient is φ = 16511247360.

The previous prime is 26134040123. The next prime is 26134040197. The reversal of 26134040133 is 33104043162.

26134040133 is a `hidden beast` number, since 2 + 613 + 4 + 0 + 40 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 718347204 + 25415692929 = 26802^2 + 159423^2 .

It is not a de Polignac number, because 26134040133 - 214 = 26134023749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26134040097 and 26134040106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26134040123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11317183 + ... + 11319491.

It is an arithmetic number, because the mean of its divisors is an integer number (828752925).

Almost surely, 226134040133 is an apocalyptic number.

It is an amenable number.

26134040133 is a deficient number, since it is larger than the sum of its proper divisors (13646100267).

26134040133 is a wasteful number, since it uses less digits than its factorization.

26134040133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 26134040133 its reverse (33104043162), we get a palindrome (59238083295).

It can be divided in two parts, 2613 and 4040133, that added together give a triangular number (4042746 = T2843).

The spelling of 26134040133 in words is "twenty-six billion, one hundred thirty-four million, forty thousand, one hundred thirty-three".

Divisors: 1 3 9 37 41 111 123 333 369 829 1517 2309 2487 4551 6927 7461 13653 20781 30673 33989 85433 92019 94669 101967 256299 276057 284007 305901 768897 852021 1257593 1914161 3502753 3772779 5742483 10508259 11318337 17227449 31524777 70823957 78480601 212471871 235441803 637415613 706325409 2903782237 8711346711 26134040133