Search a number
-
+
5170700144 = 2417210910259
BaseRepresentation
bin1001101000011001…
…01001111101110000
3111100100120210010202
410310030221331300
541042144401034
62213030014332
7242064140351
oct46414517560
914310523122
105170700144
1122137a8605
1210037a73a8
136453277ac
14370a17d28
15203e2447e
hex134329f70

5170700144 has 60 divisors (see below), whose sum is σ = 10740886200. Its totient is φ = 2410712064.

The previous prime is 5170700141. The next prime is 5170700167. The reversal of 5170700144 is 4410070715.

It is a super-2 number, since 2×51707001442 = 53472279958323241472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5170700141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498887 + ... + 509145.

It is an arithmetic number, because the mean of its divisors is an integer number (179014770).

Almost surely, 25170700144 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 5170700144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370443100).

5170700144 is an abundant number, since it is smaller than the sum of its proper divisors (5570186056).

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

5170700144 is a wasteful number, since it uses less digits than its factorization.

5170700144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10410 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 5170700144 is about 71907.5805739562. The cubic root of 5170700144 is about 1729.2181464864.

Adding to 5170700144 its reverse (4410070715), we get a palindrome (9580770859).

The spelling of 5170700144 in words is "five billion, one hundred seventy million, seven hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 289 436 578 872 1156 1744 1853 2312 3706 4624 7412 10259 14824 20518 29648 31501 41036 63002 82072 126004 164144 174403 252008 348806 504016 697612 1118231 1395224 2236462 2790448 2964851 4472924 5929702 8945848 11859404 17891696 19009927 23718808 38019854 47437616 76039708 152079416 304158832 323168759 646337518 1292675036 2585350072 5170700144