Search a number
-
+
81635362048779 = 37112571375096637
BaseRepresentation
bin10010100011111100110110…
…110000011000101100001011
3101201001021010202001201002120
4102203330312300120230023
541200003210141030104
6445342433444502323
723123650242146460
oct2243746660305413
9351037122051076
1081635362048779
11240143a9713230
1291a55916aa9a3
133672248cc3376
14162325b8b3667
159687ca766cd9
hex4a3f36c18b0b

81635362048779 has 32 divisors (see below), whose sum is σ = 136233574119936. Its totient is φ = 42242968657920.

The previous prime is 81635362048727. The next prime is 81635362048787. The reversal of 81635362048779 is 97784026353618.

It is not a de Polignac number, because 81635362048779 - 220 = 81635361000203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81635362048579) 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 31 ways as a sum of consecutive naturals, for example, 687488952 + ... + 687607685.

It is an arithmetic number, because the mean of its divisors is an integer number (4257299191248).

It is a 2-persistent number, because it is pandigital, and so is 2⋅81635362048779 = 163270724097558, but 3⋅81635362048779 = 244906086146337 is not.

Almost surely, 281635362048779 is an apocalyptic number.

81635362048779 is a deficient number, since it is larger than the sum of its proper divisors (54598212071157).

81635362048779 is a wasteful number, since it uses less digits than its factorization.

81635362048779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375096915.

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 81635362048779 in words is "eighty-one trillion, six hundred thirty-five billion, three hundred sixty-two million, forty-eight thousand, seven hundred seventy-nine".

Divisors: 1 3 7 11 21 33 77 231 257 771 1799 2827 5397 8481 19789 59367 1375096637 4125289911 9625676459 15126063007 28877029377 45378189021 105882441049 317647323147 353399835709 1060199507127 2473798849963 3887398192799 7421396549889 11662194578397 27211787349593 81635362048779