Search a number
-
+
82610286408481 = 13197389719115331
BaseRepresentation
bin10010110010001000110100…
…110001101011001100100001
3101211111110120220020121210011
4102302020310301223030201
541311441331310032411
6451410350333204521
723254252623366466
oct2262106461531441
9354443526217704
1082610286408481
112435a90a039457
129322515930741
133713169190810
1416585058c366d
15983d3a868c21
hex4b2234c6b321

82610286408481 has 32 divisors (see below), whose sum is σ = 89771845363200. Its totient is φ = 75567626077440.

The previous prime is 82610286408451. The next prime is 82610286408509. The reversal of 82610286408481 is 18480468201628.

It is a cyclic number.

It is not a de Polignac number, because 82610286408481 - 213 = 82610286400289 is a prime.

It is a super-2 number, since 2×826102864084812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82610286408451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716230986 + ... + 716346316.

It is an arithmetic number, because the mean of its divisors is an integer number (2805370167600).

Almost surely, 282610286408481 is an apocalyptic number.

It is an amenable number.

82610286408481 is a deficient number, since it is larger than the sum of its proper divisors (7161558954719).

82610286408481 is a wasteful number, since it uses less digits than its factorization.

82610286408481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116649.

The product of its (nonzero) digits is 9437184, while the sum is 58.

The spelling of 82610286408481 in words is "eighty-two trillion, six hundred ten billion, two hundred eighty-six million, four hundred eight thousand, four hundred eighty-one".

Divisors: 1 13 197 389 719 2561 5057 9347 76633 115331 141643 279691 996229 1499303 1841359 3635983 22720207 44863759 55099127 82922989 295362691 583228867 716288651 1077998857 8838160523 16335828833 32257042721 114896086799 212365774829 419341555373 6354637416037 82610286408481