Search a number
-
+
1745137993 is a prime number
BaseRepresentation
bin110100000000100…
…1011000101001001
311111121210012021111
41220001023011021
512033223403433
6445100210321
761150266604
oct15001130511
94447705244
101745137993
118160a3005
124085399a1
1321a721941
14127ab533b
15a331cdcd
hex6804b149

1745137993 has 2 divisors, whose sum is σ = 1745137994. Its totient is φ = 1745137992.

The previous prime is 1745137957. The next prime is 1745138023. The reversal of 1745137993 is 3997315471.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1143318969 + 601819024 = 33813^2 + 24532^2 .

It is a cyclic number.

It is not a de Polignac number, because 1745137993 - 225 = 1711583561 is a prime.

It is a super-2 number, since 2×17451379932 = 6091013229224136098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1745137393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 872568996 + 872568997.

It is an arithmetic number, because the mean of its divisors is an integer number (872568997).

Almost surely, 21745137993 is an apocalyptic number.

It is an amenable number.

1745137993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1745137993 is an equidigital number, since it uses as much as digits as its factorization.

1745137993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 714420, while the sum is 49.

The square root of 1745137993 is about 41774.8488088228. The cubic root of 1745137993 is about 1203.9540847105.

The spelling of 1745137993 in words is "one billion, seven hundred forty-five million, one hundred thirty-seven thousand, nine hundred ninety-three".