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32381870401 is a prime number
BaseRepresentation
bin11110001010000111…
…000010000101000001
310002120202012110022101
4132022013002011001
51012304224323101
622513115510401
72224311233266
oct361207020501
9102522173271
1032381870401
11128077a3571
126338758401
1330909a3a7a
1417d290926d
15c97cbd401
hex78a1c2141

32381870401 has 2 divisors, whose sum is σ = 32381870402. Its totient is φ = 32381870400.

The previous prime is 32381870393. The next prime is 32381870429. The reversal of 32381870401 is 10407818323.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23669514801 + 8712355600 = 153849^2 + 93340^2 .

It is a cyclic number.

It is not a de Polignac number, because 32381870401 - 23 = 32381870393 is a prime.

It is not a weakly prime, because it can be changed into another prime (32381870431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16190935200 + 16190935201.

It is an arithmetic number, because the mean of its divisors is an integer number (16190935201).

Almost surely, 232381870401 is an apocalyptic number.

It is an amenable number.

32381870401 is a deficient number, since it is larger than the sum of its proper divisors (1).

32381870401 is an equidigital number, since it uses as much as digits as its factorization.

32381870401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 32381870401 in words is "thirty-two billion, three hundred eighty-one million, eight hundred seventy thousand, four hundred one".