Search a number
-
+
82367278009 = 109226332
BaseRepresentation
bin100110010110101111…
…0001110101110111001
321212121022120020221021
41030231132032232321
52322142010344014
6101501120342441
75644065211522
oct1145536165671
9255538506837
1082367278009
1131a281aa095
1213b68774a21
1379c8704833
143db531b849
15222122e624
hex132d78ebb9

82367278009 has 9 divisors (see below), whose sum is σ = 83161458093. Its totient is φ = 81580619232.

The previous prime is 82367278001. The next prime is 82367278031. The reversal of 82367278009 is 90087276328.

The square root of 82367278009 is 286997.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2262429225 + 80104848784 = 47565^2 + 283028^2 .

It is not a de Polignac number, because 82367278009 - 23 = 82367278001 is a prime.

It is a super-2 number, since 2×823672780092 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82367278001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31281357 + ... + 31283989.

Almost surely, 282367278009 is an apocalyptic number.

82367278009 is the 286997-th square number.

82367278009 is the 143499-th centered octagonal number.

It is an amenable number.

82367278009 is a deficient number, since it is larger than the sum of its proper divisors (794180084).

82367278009 is an frugal number, since it uses more digits than its factorization.

82367278009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 82367278009 in words is "eighty-two billion, three hundred sixty-seven million, two hundred seventy-eight thousand, nine".

Divisors: 1 109 2633 11881 286997 6932689 31282673 755663101 82367278009