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42932736001 is a prime number
BaseRepresentation
bin100111111110111111…
…011001000000000001
311002211001111221222101
4213332333121000001
51200411240023001
631420101310401
73046625143351
oct477677310001
9132731457871
1042932736001
1117231457001
1283a2105401
1340828456cc
142113ca4b61
1511b41e0a01
hex9fefd9001

42932736001 has 2 divisors, whose sum is σ = 42932736002. Its totient is φ = 42932736000.

The previous prime is 42932735999. The next prime is 42932736013. The reversal of 42932736001 is 10063723924.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29713485376 + 13219250625 = 172376^2 + 114975^2 .

It is a cyclic number.

It is not a de Polignac number, because 42932736001 - 21 = 42932735999 is a prime.

It is a super-2 number, since 2×429327360012 (a number of 22 digits) contains 22 as substring.

Together with 42932735999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (42932736901) 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 as a sum of consecutive naturals, namely, 21466368000 + 21466368001.

It is an arithmetic number, because the mean of its divisors is an integer number (21466368001).

Almost surely, 242932736001 is an apocalyptic number.

It is an amenable number.

42932736001 is a deficient number, since it is larger than the sum of its proper divisors (1).

42932736001 is an equidigital number, since it uses as much as digits as its factorization.

42932736001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 42932736001 in words is "forty-two billion, nine hundred thirty-two million, seven hundred thirty-six thousand, one".