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26072146341 = 322999893281
BaseRepresentation
bin11000010010000001…
…010110000110100101
32111022000100021002200
4120102001112012211
5411343432140331
615551040325113
71612043405313
oct302201260645
974260307080
1026072146341
111006a05748a
125077613799
1325c66b4137
1413949150b3
15a28da55e6
hex6120561a5

26072146341 has 12 divisors (see below), whose sum is σ = 38958379980. Its totient is φ = 16782071040.

The previous prime is 26072146337. The next prime is 26072146361. The reversal of 26072146341 is 14364127062.

26072146341 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 2 + 14 + 634 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17173054116 + 8899092225 = 131046^2 + 94335^2 .

It is not a de Polignac number, because 26072146341 - 22 = 26072146337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26072146296 and 26072146305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26072146301) 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 11 ways as a sum of consecutive naturals, for example, 49946380 + ... + 49946901.

It is an arithmetic number, because the mean of its divisors is an integer number (3246531665).

Almost surely, 226072146341 is an apocalyptic number.

It is an amenable number.

26072146341 is a deficient number, since it is larger than the sum of its proper divisors (12886233639).

26072146341 is a wasteful number, since it uses less digits than its factorization.

26072146341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99893316 (or 99893313 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 26072146341 in words is "twenty-six billion, seventy-two million, one hundred forty-six thousand, three hundred forty-one".

Divisors: 1 3 9 29 87 261 99893281 299679843 899039529 2896905149 8690715447 26072146341