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2632967201 is a prime number
BaseRepresentation
bin1001110011101111…
…1110010000100001
320210111101120222202
42130323332100201
520343014422301
61113133342545
7122150565134
oct23473762041
96714346882
102632967201
111131272257
12615937a55
1332c646677
141ad98421b
1510624366b
hex9cefe421

2632967201 has 2 divisors, whose sum is σ = 2632967202. Its totient is φ = 2632967200.

The previous prime is 2632967171. The next prime is 2632967287. The reversal of 2632967201 is 1027692362.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1971448801 + 661518400 = 44401^2 + 25720^2 .

It is a cyclic number.

It is not a de Polignac number, because 2632967201 - 26 = 2632967137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2632967291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1316483600 + 1316483601.

It is an arithmetic number, because the mean of its divisors is an integer number (1316483601).

Almost surely, 22632967201 is an apocalyptic number.

It is an amenable number.

2632967201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2632967201 is an equidigital number, since it uses as much as digits as its factorization.

2632967201 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 38.

The square root of 2632967201 is about 51312.4468428470. The cubic root of 2632967201 is about 1380.8562915316.

The spelling of 2632967201 in words is "two billion, six hundred thirty-two million, nine hundred sixty-seven thousand, two hundred one".