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26414120133 = 326754498039
BaseRepresentation
bin11000100110011001…
…110111110011000101
32112011211211022221200
4120212121313303011
5413044003321013
620045014133113
71623365213412
oct304631676305
975154738850
1026414120133
111022509a455
125152051199
13264c4b9cab
1413c80d3109
15a48e05e73
hex626677cc5

26414120133 has 24 divisors (see below), whose sum is σ = 38735112000. Its totient is φ = 17341245504.

The previous prime is 26414120111. The next prime is 26414120147. The reversal of 26414120133 is 33102141462.

It is a happy number.

26414120133 is a `hidden beast` number, since 2 + 641 + 4 + 1 + 2 + 0 + 13 + 3 = 666.

It is not a de Polignac number, because 26414120133 - 28 = 26414119877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26414120097 and 26414120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26414120833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3281728 + ... + 3289766.

It is an arithmetic number, because the mean of its divisors is an integer number (1613963000).

Almost surely, 226414120133 is an apocalyptic number.

It is an amenable number.

26414120133 is a deficient number, since it is larger than the sum of its proper divisors (12320991867).

26414120133 is a wasteful number, since it uses less digits than its factorization.

26414120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13561 (or 13558 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 26414120133 its reverse (33102141462), we get a palindrome (59516261595).

The spelling of 26414120133 in words is "twenty-six billion, four hundred fourteen million, one hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 9 67 201 603 5449 8039 16347 24117 49041 72351 365083 538613 1095249 1615839 3285747 4847517 43804511 131413533 394240599 2934902237 8804706711 26414120133