Search a number
-
+
1813968001 is a prime number
BaseRepresentation
bin110110000011110…
…1111010010000001
311200102022010022001
41230013233102001
512203333434001
6455555344001
762644321306
oct15407572201
94612263261
101813968001
11850a3500a
124275b2001
1322ba70a61
14132cb10ad
15a93b7001
hex6c1ef481

1813968001 has 2 divisors, whose sum is σ = 1813968002. Its totient is φ = 1813968000.

The previous prime is 1813967993. The next prime is 1813968049. The reversal of 1813968001 is 1008693181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1725156225 + 88811776 = 41535^2 + 9424^2 .

It is a cyclic number.

It is not a de Polignac number, because 1813968001 - 23 = 1813967993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1813968061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 906984000 + 906984001.

It is an arithmetic number, because the mean of its divisors is an integer number (906984001).

Almost surely, 21813968001 is an apocalyptic number.

It is an amenable number.

1813968001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1813968001 is an equidigital number, since it uses as much as digits as its factorization.

1813968001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 1813968001 is about 42590.7032226518. The cubic root of 1813968001 is about 1219.5788210654.

The spelling of 1813968001 in words is "one billion, eight hundred thirteen million, nine hundred sixty-eight thousand, one".