Search a number
-
+
5681916040329 = 3483231912
BaseRepresentation
bin101001010101110110010…
…0101100101010010001001
3202010012000111110012010000
41102223230211211102021
51221043031001242304
620030123003513213
71124335114316154
oct122535445452211
922105014405100
105681916040329
1118a0761528641
1277923a228809
13322a57ab5149
14159013046c9b
159cbedd88939
hex52aec965489

5681916040329 has 45 divisors (see below), whose sum is σ = 8593988437309. Its totient is φ = 3741133377960.

The previous prime is 5681916040327. The next prime is 5681916040349. The reversal of 5681916040329 is 9230406191865.

The square root of 5681916040329 is 2383677.

It is a perfect power (a square), and thus also a powerful number.

5681916040329 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 9 + 1 + 604 + 0 + 3 + 29 = 666.

It is not a de Polignac number, because 5681916040329 - 21 = 5681916040327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5681916040327) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1780605124 + ... + 1780608314.

Almost surely, 25681916040329 is an apocalyptic number.

5681916040329 is the 2383677-th square number.

5681916040329 is the 1191839-th centered octagonal number.

It is an amenable number.

5681916040329 is a deficient number, since it is larger than the sum of its proper divisors (2912072396980).

5681916040329 is an frugal number, since it uses more digits than its factorization.

5681916040329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 5681916040329 in words is "five trillion, six hundred eighty-one billion, nine hundred sixteen million, forty thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 83 249 747 2241 3191 6723 6889 9573 20667 28719 62001 86157 186003 258471 264853 558009 794559 2383677 7151031 10182481 21453093 21982799 30547443 65948397 91642329 197845191 274926987 593535573 824780961 845145923 1780606719 2535437769 7606313307 22818939921 68456819763 70147111609 210441334827 631324004481 1893972013443 5681916040329