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42683209296 = 24372137391889
BaseRepresentation
bin100111110000000111…
…100001011001010000
311002011122222200200120
4213300013201121100
51144403400144141
631335225150240
73040505202300
oct476007413120
9132148880616
1042683209296
1117113616992
12833262b380
134042c3a580
1420ccaad600
15119c351c66
hex9f01e1650

42683209296 has 240 divisors, whose sum is σ = 138394267200. Its totient is φ = 11235926016.

The previous prime is 42683209279. The next prime is 42683209297. The reversal of 42683209296 is 69290238624.

It is a super-2 number, since 2×426832092962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42683209297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22594720 + ... + 22596608.

It is an arithmetic number, because the mean of its divisors is an integer number (576642780).

Almost surely, 242683209296 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 42683209296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69197133600).

42683209296 is an abundant number, since it is smaller than the sum of its proper divisors (95711057904).

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

42683209296 is a wasteful number, since it uses less digits than its factorization.

42683209296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 42683209296 in words is "forty-two billion, six hundred eighty-three million, two hundred nine thousand, two hundred ninety-six".