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609045349248 = 27327237344983
BaseRepresentation
bin10001101110011011110…
…11101000001110000000
32011020001102021101222100
420313031323220032000
534434311102133443
61143442551310400
762000466023430
oct10671573501600
92136042241870
10609045349248
11215327249346
129a05407b400
134558192807b
14216997022c0
1510c990063d3
hex8dcdee8380

609045349248 has 384 divisors, whose sum is σ = 2118724807680. Its totient is φ = 164163428352.

The previous prime is 609045349247. The next prime is 609045349303. The reversal of 609045349248 is 842943540906.

609045349248 is a `hidden beast` number, since 60 + 9 + 0 + 4 + 53 + 492 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 609045349194 and 609045349203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609045349247) 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 47 ways as a sum of consecutive naturals, for example, 13516965 + ... + 13561947.

It is an arithmetic number, because the mean of its divisors is an integer number (5517512520).

Almost surely, 2609045349248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609045349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059362403840).

609045349248 is an abundant number, since it is smaller than the sum of its proper divisors (1509679458432).

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

609045349248 is a wasteful number, since it uses less digits than its factorization.

609045349248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45106 (or 45091 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 609045349248 in words is "six hundred nine billion, forty-five million, three hundred forty-nine thousand, two hundred forty-eight".