Search a number
-
+
5116480768 = 2873777167
BaseRepresentation
bin1001100001111011…
…10100110100000000
3111012120120011010201
410300331310310000
540434304341033
62203411534544
7240535240360
oct46075646400
914176504121
105116480768
112196135803
12ba95ba454
13637022a19
143677429a0
151ee2b447d
hex130f74d00

5116480768 has 72 divisors (see below), whose sum is σ = 11987585792. Its totient is φ = 2133485568.

The previous prime is 5116480757. The next prime is 5116480799. The reversal of 5116480768 is 8670846115.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27721 + ... + 104887.

Almost surely, 25116480768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5116480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993792896).

5116480768 is an abundant number, since it is smaller than the sum of its proper divisors (6871105024).

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

5116480768 is an equidigital number, since it uses as much as digits as its factorization.

5116480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77227 (or 77213 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The square root of 5116480768 is about 71529.5796716296. The cubic root of 5116480768 is about 1723.1527679985.

The spelling of 5116480768 in words is "five billion, one hundred sixteen million, four hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 518 592 896 1036 1184 1792 2072 2368 4144 4736 8288 9472 16576 33152 66304 77167 154334 308668 540169 617336 1080338 1234672 2160676 2469344 2855179 4321352 4938688 5710358 8642704 9877376 11420716 17285408 19754752 19986253 22841432 34570816 39972506 45682864 69141632 79945012 91365728 138283264 159890024 182731456 319780048 365462912 639560096 730925824 1279120192 2558240384 5116480768