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42005427660 = 22335775114797
BaseRepresentation
bin100111000111101101…
…111111010111001100
311000102102121211002000
4213013231333113030
51142011342141120
631144054032300
73014635146450
oct470755772714
9130372554060
1042005427660
11168a5a72579
128183648690
133c656aa251
142066a7a660
15115cabc990
hex9c7b7f5cc

42005427660 has 192 divisors, whose sum is σ = 149561610240. Its totient is φ = 9587808000.

The previous prime is 42005427617. The next prime is 42005427683. The reversal of 42005427660 is 6672450024.

42005427660 is a `hidden beast` number, since 42 + 0 + 0 + 542 + 76 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2831382 + ... + 2846178.

It is an arithmetic number, because the mean of its divisors is an integer number (778966720).

Almost surely, 242005427660 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 42005427660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74780805120).

42005427660 is an abundant number, since it is smaller than the sum of its proper divisors (107556182580).

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

42005427660 is a wasteful number, since it uses less digits than its factorization.

42005427660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15573 (or 15565 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 42005427660 its reverse (6672450024), we get a palindrome (48677877684).

The spelling of 42005427660 in words is "forty-two billion, five million, four hundred twenty-seven thousand, six hundred sixty".