Search a number
-
+
260138219472 = 24321979170129
BaseRepresentation
bin1111001001000101110…
…0100011011111010000
3220212110110221202201100
43302101130203133100
513230230341010342
6315301132504400
724536316244635
oct3622134433720
9825413852640
10260138219472
11a036227462a
12424bb91b100
131b6b95b2121
14c83b07418c
156b77dcae4c
hex3c917237d0

260138219472 has 60 divisors (see below), whose sum is σ = 731721353220. Its totient is φ = 86272564224.

The previous prime is 260138219431. The next prime is 260138219479. The reversal of 260138219472 is 274912831062.

260138219472 is a `hidden beast` number, since 2 + 601 + 38 + 2 + 1 + 9 + 4 + 7 + 2 = 666.

260138219472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 254705939856 + 5432279616 = 504684^2 + 73704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260138219479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4556697 + ... + 4613432.

It is an arithmetic number, because the mean of its divisors is an integer number (12195355887).

Almost surely, 2260138219472 is an apocalyptic number.

It is an amenable number.

260138219472 is an abundant number, since it is smaller than the sum of its proper divisors (471583133748).

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

260138219472 is a wasteful number, since it uses less digits than its factorization.

260138219472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170340 (or 9170331 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 260138219472 in words is "two hundred sixty billion, one hundred thirty-eight million, two hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 7092 9456 14184 28368 9170129 18340258 27510387 36680516 55020774 73361032 82531161 110041548 146722064 165062322 220083096 330124644 440166192 660249288 1320498576 1806515413 3613030826 5419546239 7226061652 10839092478 14452123304 16258638717 21678184956 28904246608 32517277434 43356369912 65034554868 86712739824 130069109736 260138219472