Search a number
-
+
660153303540 = 223253667518353
BaseRepresentation
bin10011001101101000011…
…01000000000111110100
32100002222012220111011100
421212310031000013310
541303443221203130
61223134212210100
765460133331553
oct11466415000764
92302865814140
10660153303540
11234a733698a5
12a7b38009930
134a3380a2143
1423d47241d9a
151228aca3c60
hex99b43401f4

660153303540 has 36 divisors (see below), whose sum is σ = 2002465021284. Its totient is φ = 176040880896.

The previous prime is 660153303503. The next prime is 660153303541. The reversal of 660153303540 is 45303351066.

660153303540 is a `hidden beast` number, since 6 + 60 + 1 + 53 + 3 + 0 + 3 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 501459427044 + 158693876496 = 708138^2 + 398364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 660153303495 and 660153303504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660153303541) 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, 1833758997 + ... + 1833759356.

It is an arithmetic number, because the mean of its divisors is an integer number (55624028369).

Almost surely, 2660153303540 is an apocalyptic number.

660153303540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

660153303540 is an abundant number, since it is smaller than the sum of its proper divisors (1342311717744).

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

660153303540 is a wasteful number, since it uses less digits than its factorization.

660153303540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667518368 (or 3667518363 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 660153303540 in words is "six hundred sixty billion, one hundred fifty-three million, three hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3667518353 7335036706 11002555059 14670073412 18337591765 22005110118 33007665177 36675183530 44010220236 55012775295 66015330354 73350367060 110025550590 132030660708 165038325885 220051101180 330076651770 660153303540