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42146971776 = 2732713402043
BaseRepresentation
bin100111010000001001…
…111100000010000000
311000210021222000002200
4213100021330002000
51142304111044101
631210111513200
73021304230510
oct472011740200
9130707860080
1042146971776
1116968959788
128202b28800
133c88b08370
14207b7a3840
15116a22b986
hex9d027c080

42146971776 has 192 divisors, whose sum is σ = 149270896320. Its totient is φ = 11115657216.

The previous prime is 42146971753. The next prime is 42146971813. The reversal of 42146971776 is 67717964124.

It is a happy number.

42146971776 is a `hidden beast` number, since 4 + 2 + 1 + 469 + 7 + 177 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96190 + ... + 305853.

It is an arithmetic number, because the mean of its divisors is an integer number (777452585).

Almost surely, 242146971776 is an apocalyptic number.

It is an amenable number.

42146971776 is an abundant number, since it is smaller than the sum of its proper divisors (107123924544).

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

42146971776 is a wasteful number, since it uses less digits than its factorization.

42146971776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402083 (or 402068 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 42146971776 in words is "forty-two billion, one hundred forty-six million, nine hundred seventy-one thousand, seven hundred seventy-six".