Search a number
-
+
82021780448013 = 3717483147558039
BaseRepresentation
bin10010101001100100101111…
…000101100110001100001101
3101202102012112220110021100210
4102221210233011212030031
541222321101243314023
6450240141420113033
723163610116305010
oct2251445705461415
9352365486407323
1082021780448013
112415327283998a
129248454395779
13369c80b906a43
141637c37d93377
15973894b27593
hex4a992f16630d

82021780448013 has 32 divisors (see below), whose sum is σ = 132365058785280. Its totient is φ = 44103422119680.

The previous prime is 82021780448011. The next prime is 82021780448077. The reversal of 82021780448013 is 31084408712028.

It is not a de Polignac number, because 82021780448013 - 21 = 82021780448011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82021780448011) 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, 22054353 + ... + 25503686.

It is an arithmetic number, because the mean of its divisors is an integer number (4136408087040).

Almost surely, 282021780448013 is an apocalyptic number.

It is an amenable number.

82021780448013 is a deficient number, since it is larger than the sum of its proper divisors (50343278337267).

82021780448013 is a wasteful number, since it uses less digits than its factorization.

82021780448013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47562897.

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 82021780448013 in words is "eighty-two trillion, twenty-one billion, seven hundred eighty million, four hundred forty-eight thousand, thirteen".

Divisors: 1 3 7 17 21 51 119 357 4831 14493 33817 82127 101451 246381 574889 1724667 47558039 142674117 332906273 808486663 998718819 2425459989 5659406641 16978219923 229752886409 689258659227 1608270204863 3905799068953 4824810614589 11717397206859 27340593482671 82021780448013