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63700993 is a prime number
BaseRepresentation
bin1111001100000…
…0000000000001
311102212100100001
43303000000001
5112301412433
610153200001
71402310116
oct363000001
9142770301
1063700993
1132a59554
1219400001
13102746c5
14866290d
1558d457d
hex3cc0001

63700993 has 2 divisors, whose sum is σ = 63700994. Its totient is φ = 63700992.

The previous prime is 63700991. The next prime is 63700997. The reversal of 63700993 is 39900736.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57410929 + 6290064 = 7577^2 + 2508^2 .

It is a cyclic number.

It is not a de Polignac number, because 63700993 - 21 = 63700991 is a prime.

Together with 63700991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (63700991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a Pierpont prime, being equal to 218 ⋅ 35 + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31850496 + 31850497.

It is an arithmetic number, because the mean of its divisors is an integer number (31850497).

It is a Proth number, since it is equal to 243 ⋅ 218 + 1 and 243 < 218.

Almost surely, 263700993 is an apocalyptic number.

It is an amenable number.

63700993 is a deficient number, since it is larger than the sum of its proper divisors (1).

63700993 is an equidigital number, since it uses as much as digits as its factorization.

63700993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30618, while the sum is 37.

The square root of 63700993 is about 7981.2901839239. The cubic root of 63700993 is about 399.3760961158.

The spelling of 63700993 in words is "sixty-three million, seven hundred thousand, nine hundred ninety-three".