Search a number
-
+
8459119494 = 234715747513
BaseRepresentation
bin1111110000011001…
…11110101110000110
3210211112022210110000
413320030332232012
5114311013310434
63515220142130
7416424220650
oct77014765606
923745283400
108459119494
113650a52751
121780b37946
13a4a6b3967
145a365b6d0
1534798ab99
hex1f833eb86

8459119494 has 80 divisors (see below), whose sum is σ = 21800943648. Its totient is φ = 2401446528.

The previous prime is 8459119481. The next prime is 8459119499. The reversal of 8459119494 is 4949119548.

8459119494 is a `hidden beast` number, since 8 + 4 + 591 + 1 + 9 + 49 + 4 = 666.

It is a super-2 number, since 2×84591194942 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8459119494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8459119499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154282 + ... + 201794.

Almost surely, 28459119494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8459119494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900471824).

8459119494 is an abundant number, since it is smaller than the sum of its proper divisors (13341824154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8459119494 is a wasteful number, since it uses less digits than its factorization.

8459119494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47691 (or 47682 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 8459119494 is about 91973.4716861335. The cubic root of 8459119494 is about 2037.5505245679.

Adding to 8459119494 its sum of digits (54), we get a palindrome (8459119548).

The spelling of 8459119494 in words is "eight billion, four hundred fifty-nine million, one hundred nineteen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 157 162 189 314 378 471 567 942 1099 1134 1413 2198 2826 3297 4239 6594 8478 9891 12717 19782 25434 29673 47513 59346 89019 95026 142539 178038 285078 332591 427617 665182 855234 997773 1282851 1995546 2565702 2993319 3848553 5986638 7459541 7697106 8979957 14919082 17959914 22378623 26939871 44757246 52216787 53879742 67135869 104433574 134271738 156650361 201407607 313300722 402815214 469951083 604222821 939902166 1208445642 1409853249 2819706498 4229559747 8459119494