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82610336075855 = 5719233719401229
BaseRepresentation
bin10010110010001000110111…
…101111001001000001001111
3101211111110201100200222121112
4102302020313233021001033
541311441432013411410
6451410355305522235
723254254065510360
oct2262106757110117
9354443640628545
1082610336075855
112435a935082275
12932252a4a337b
1337131765606b3
14165850c331b67
15983d3edca105
hex4b2237bc904f

82610336075855 has 48 divisors (see below), whose sum is σ = 119925676653120. Its totient is φ = 53506413886464.

The previous prime is 82610336075819. The next prime is 82610336075857. The reversal of 82610336075855 is 55857063301628.

It is not a de Polignac number, because 82610336075855 - 212 = 82610336071759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82610336075794 and 82610336075803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82610336075857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5442620 + ... + 13958609.

It is an arithmetic number, because the mean of its divisors is an integer number (2498451596940).

Almost surely, 282610336075855 is an apocalyptic number.

82610336075855 is a deficient number, since it is larger than the sum of its proper divisors (37315340577265).

82610336075855 is a wasteful number, since it uses less digits than its factorization.

82610336075855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19401616 (or 19401597 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 59.

The spelling of 82610336075855 in words is "eighty-two trillion, six hundred ten billion, three hundred thirty-six million, seventy-five thousand, eight hundred fifty-five".

Divisors: 1 5 7 19 35 95 133 337 361 665 1685 1805 2359 2527 6403 11795 12635 32015 44821 121657 224105 608285 851599 4257995 19401229 97006145 135808603 368623351 679043015 1843116755 2580363457 6538214173 7003843669 12901817285 32691070865 35019218345 45767499211 49026905683 124226069287 228837496055 245134528415 621130346435 869582485009 2360295316453 4347912425045 11801476582265 16522067215171 82610336075855