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42523421472 = 25367237201
BaseRepresentation
bin100111100110100101…
…111110101100100000
311001202112022122000000
4213212211332230200
51144041443441342
631311320300000
73033525055500
oct474645765440
9131675278000
1042523421472
11170413a9a34
1282a9011600
134018ac256c
1420b5797a00
15118d2dc44c
hex9e697eb20

42523421472 has 252 divisors, whose sum is σ = 146016473526. Its totient is φ = 12149222400.

The previous prime is 42523421417. The next prime is 42523421477. The reversal of 42523421472 is 27412432524.

42523421472 is a `hidden beast` number, since 42 + 523 + 4 + 21 + 4 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41974175376 + 549246096 = 204876^2 + 23436^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (42523421477) 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 41 ways as a sum of consecutive naturals, for example, 1124472 + ... + 1161672.

Almost surely, 242523421472 is an apocalyptic number.

42523421472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42523421472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73008236763).

42523421472 is an abundant number, since it is smaller than the sum of its proper divisors (103493052054).

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

42523421472 is an equidigital number, since it uses as much as digits as its factorization.

42523421472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37243 (or 37213 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

Adding to 42523421472 its reverse (27412432524), we get a palindrome (69935853996).

The spelling of 42523421472 in words is "forty-two billion, five hundred twenty-three million, four hundred twenty-one thousand, four hundred seventy-two".