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1948419013 is a prime number
BaseRepresentation
bin111010000100010…
…1000001111000101
312000210021221102011
41310020220033011
512442243402023
6521201214221
766166200622
oct16410501705
95023257364
101948419013
1190a917052
12464631371
13250887478
14146aad349
15b60c450d
hex742283c5

1948419013 has 2 divisors, whose sum is σ = 1948419014. Its totient is φ = 1948419012.

The previous prime is 1948419007. The next prime is 1948419047. The reversal of 1948419013 is 3109148491.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1575851809 + 372567204 = 39697^2 + 19302^2 .

It is an emirp because it is prime and its reverse (3109148491) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1948419013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1948419313) 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, 974209506 + 974209507.

It is an arithmetic number, because the mean of its divisors is an integer number (974209507).

Almost surely, 21948419013 is an apocalyptic number.

It is an amenable number.

1948419013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1948419013 is an equidigital number, since it uses as much as digits as its factorization.

1948419013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 1948419013 is about 44140.8995490577. The cubic root of 1948419013 is about 1248.9952487029.

The spelling of 1948419013 in words is "one billion, nine hundred forty-eight million, four hundred nineteen thousand, thirteen".