Search a number
-
+
8049138017 = 1979892677
BaseRepresentation
bin1110111111100010…
…00001100101100001
3202202221212120120212
413133301001211201
5112441034404032
63410412543505
7403315354454
oct73761014541
922687776525
108049138017
11346058a588
121687781b95
139b378907b
1456501949b
153219a4bb2
hex1dfc41961

8049138017 has 24 divisors (see below), whose sum is σ = 8690332800. Its totient is φ = 7433382528.

The previous prime is 8049137981. The next prime is 8049138047. The reversal of 8049138017 is 7108319408.

It is not a de Polignac number, because 8049138017 - 212 = 8049133921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8049138047) 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 23 ways as a sum of consecutive naturals, for example, 11889083 + ... + 11889759.

It is an arithmetic number, because the mean of its divisors is an integer number (362097200).

Almost surely, 28049138017 is an apocalyptic number.

It is an amenable number.

8049138017 is a deficient number, since it is larger than the sum of its proper divisors (641194783).

8049138017 is an equidigital number, since it uses as much as digits as its factorization.

8049138017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 8049138017 is about 89716.9884525779. The cubic root of 8049138017 is about 2004.0864794062.

The spelling of 8049138017 in words is "eight billion, forty-nine million, one hundred thirty-eight thousand, seventeen".

Divisors: 1 19 79 89 677 1501 1691 7031 7921 12863 53483 60253 133589 150499 625759 1016177 1144807 4759987 5362517 11889421 90439753 101887823 423638843 8049138017