Search a number
-
+
36264304242 = 2323328960521
BaseRepresentation
bin100001110001100001…
…010101111001110010
310110121022200112022100
4201301201111321302
51043232130213432
624354245521230
72422443333345
oct416141257162
9113538615270
1036264304242
111441a288581
127040a13216
13355c1412ba
141a803b845c
15e23a6e07c
hex871855e72

36264304242 has 24 divisors (see below), whose sum is σ = 78576317820. Its totient is φ = 12087538560.

The previous prime is 36264304213. The next prime is 36264304249. The reversal of 36264304242 is 24240346263.

36264304242 is a `hidden beast` number, since 3 + 6 + 2 + 643 + 0 + 4 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28035818721 + 8228485521 = 167439^2 + 90711^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36264304197 and 36264304206.

It is not an unprimeable number, because it can be changed into a prime (36264304249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568942 + ... + 629462.

Almost surely, 236264304242 is an apocalyptic number.

36264304242 is an abundant number, since it is smaller than the sum of its proper divisors (42312013578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36264304242 is a wasteful number, since it uses less digits than its factorization.

36264304242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93818 (or 93815 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 36264304242 in words is "thirty-six billion, two hundred sixty-four million, three hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 33289 60521 66578 99867 121042 181563 199734 299601 363126 544689 599202 1089378 2014683569 4029367138 6044050707 12088101414 18132152121 36264304242