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1948305193 is a prime number
BaseRepresentation
bin111010000100000…
…1100011100101001
312000210002011021121
41310020030130221
512442231231233
6521154535241
766165215032
oct16410143451
95023064247
101948305193
1190a84958a
12464597521
13250847713
14146a7da89
15b60a092d
hex7420c729

1948305193 has 2 divisors, whose sum is σ = 1948305194. Its totient is φ = 1948305192.

The previous prime is 1948305187. The next prime is 1948305211. The reversal of 1948305193 is 3915038491.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1045422889 + 902882304 = 32333^2 + 30048^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1948305193 is a prime.

It is not a weakly prime, because it can be changed into another prime (1948303193) 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, 974152596 + 974152597.

It is an arithmetic number, because the mean of its divisors is an integer number (974152597).

Almost surely, 21948305193 is an apocalyptic number.

It is an amenable number.

1948305193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1948305193 is an equidigital number, since it uses as much as digits as its factorization.

1948305193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 1948305193 is about 44139.6102497519. The cubic root of 1948305193 is about 1248.9709275471.

The spelling of 1948305193 in words is "one billion, nine hundred forty-eight million, three hundred five thousand, one hundred ninety-three".