Search a number
-
+
8117019649 = 41675994933
BaseRepresentation
bin1111000111100111…
…11110010000000001
3202221200121022200101
413203303332100001
5113110424112044
63421235522401
7405101346214
oct74363762001
922850538611
108117019649
113495934002
1216a6459401
139c486560b
1457004977b
15327912cd4
hex1e3cfe401

8117019649 has 16 divisors (see below), whose sum is σ = 8454902400. Its totient is φ = 7786247040.

The previous prime is 8117019637. The next prime is 8117019653. The reversal of 8117019649 is 9469107118.

It is a cyclic number.

It is not a de Polignac number, because 8117019649 - 213 = 8117011457 is a prime.

It is a super-3 number, since 3×81170196493 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8117019599 and 8117019608.

It is not an unprimeable number, because it can be changed into a prime (8117019619) 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 15 ways as a sum of consecutive naturals, for example, 1642987 + ... + 1647919.

It is an arithmetic number, because the mean of its divisors is an integer number (528431400).

Almost surely, 28117019649 is an apocalyptic number.

It is an amenable number.

8117019649 is a deficient number, since it is larger than the sum of its proper divisors (337882751).

8117019649 is a wasteful number, since it uses less digits than its factorization.

8117019649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640.

The product of its (nonzero) digits is 108864, while the sum is 46.

The square root of 8117019649 is about 90094.5039888672. The cubic root of 8117019649 is about 2009.7044728586.

The spelling of 8117019649 in words is "eight billion, one hundred seventeen million, nineteen thousand, six hundred forty-nine".

Divisors: 1 41 67 599 2747 4933 24559 40133 202253 330511 1645453 2954867 13550951 121149547 197976089 8117019649