Search a number
-
+
8001248001 = 37336535379
BaseRepresentation
bin1110111001110100…
…10101101100000001
3202122121202111211120
413130322111230001
5112341304414001
63401542302453
7402164325435
oct73472255401
922577674746
108001248001
11343655005a
121673727a29
139a688c196
1455c9109c5
1531c695236
hex1dce95b01

8001248001 has 8 divisors (see below), whose sum is σ = 10814472480. Its totient is φ = 5261094432.

The previous prime is 8001247997. The next prime is 8001248009. The reversal of 8001248001 is 1008421008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8001248001 - 22 = 8001247997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8001248009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18267471 + ... + 18267908.

It is an arithmetic number, because the mean of its divisors is an integer number (1351809060).

Almost surely, 28001248001 is an apocalyptic number.

It is an amenable number.

8001248001 is a deficient number, since it is larger than the sum of its proper divisors (2813224479).

8001248001 is a wasteful number, since it uses less digits than its factorization.

8001248001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36535455.

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8001248001 is about 89449.6953656076. The cubic root of 8001248001 is about 2000.1039946758.

Adding to 8001248001 its reverse (1008421008), we get a palindrome (9009669009).

The spelling of 8001248001 in words is "eight billion, one million, two hundred forty-eight thousand, one".

Divisors: 1 3 73 219 36535379 109606137 2667082667 8001248001