Search a number
-
+
133324494423288 = 23372772864975383
BaseRepresentation
bin11110010100001000000111…
…001000010100010011111000
3122111001200211020210012220120
4132110020013020110103320
5114433342031033021123
61151320232135053240
740040243155101060
oct3624100710242370
9574050736705816
10133324494423288
1139532667380a33
1212b5321b511220
1359515a479197c
1424ccd233763a0
151063121aa32e3
hex7942072144f8

133324494423288 has 64 divisors (see below), whose sum is σ = 382302315240960. Its totient is φ = 37955193860736.

The previous prime is 133324494423287. The next prime is 133324494423347. The reversal of 133324494423288 is 882324494423331.

133324494423288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133324494423287) 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 15 ways as a sum of consecutive naturals, for example, 1432441156 + ... + 1432534227.

It is an arithmetic number, because the mean of its divisors is an integer number (5973473675640).

Almost surely, 2133324494423288 is an apocalyptic number.

It is an amenable number.

133324494423288 is an abundant number, since it is smaller than the sum of its proper divisors (248977820817672).

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

133324494423288 is a wasteful number, since it uses less digits than its factorization.

133324494423288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864975676 (or 2864975672 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 60.

The spelling of 133324494423288 in words is "one hundred thirty-three trillion, three hundred twenty-four billion, four hundred ninety-four million, four hundred twenty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 277 554 831 1108 1662 1939 2216 3324 3878 5817 6648 7756 11634 15512 23268 46536 2864975383 5729950766 8594926149 11459901532 17189852298 20054827681 22919803064 34379704596 40109655362 60164483043 68759409192 80219310724 120328966086 160438621448 240657932172 481315864344 793598181091 1587196362182 2380794543273 3174392724364 4761589086546 5555187267637 6348785448728 9523178173092 11110374535274 16665561802911 19046356346184 22220749070548 33331123605822 44441498141096 66662247211644 133324494423288