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148148000133336 = 233273533565114723
BaseRepresentation
bin100001101011110101100100…
…111011000001000011011000
3201102112210212211222201000100
4201223311210323001003120
5123404224101013231321
61243030130211335400
743130224356501450
oct4153654473010330
9642483784881010
10148148000133336
1143228239957165
12147480a95b1560
1364883b1455548
142882589898d60
15121da09698326
hex86bd64ec10d8

148148000133336 has 192 divisors, whose sum is σ = 458795453425920. Its totient is φ = 42305657414400.

The previous prime is 148148000133299. The next prime is 148148000133439. The reversal of 148148000133336 is 633331000841841.

148148000133336 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 480 + 0 + 0 + 133 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 148148000133291 and 148148000133300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10062344071 + ... + 10062358793.

It is an arithmetic number, because the mean of its divisors is an integer number (2389559653260).

Almost surely, 2148148000133336 is an apocalyptic number.

It is an amenable number.

148148000133336 is an abundant number, since it is smaller than the sum of its proper divisors (310647453292584).

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

148148000133336 is a wasteful number, since it uses less digits than its factorization.

148148000133336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23926 (or 23919 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 148148000133336 in words is "one hundred forty-eight trillion, one hundred forty-eight billion, one hundred thirty-three thousand, three hundred thirty-six".