Search a number
-
+
5104016214 = 23111015771327
BaseRepresentation
bin1001100000011100…
…10001101101010110
3111011201002212222120
410300032101231112
540423112004324
62202244440410
7240324264513
oct46016215526
914151085876
105104016214
11218a0a1a20
12ba53a9106
1363457a44b
14365c1a30a
151ed151179
hex130391b56

5104016214 has 64 divisors (see below), whose sum is σ = 11274273792. Its totient is φ = 1527552000.

The previous prime is 5104016213. The next prime is 5104016221. The reversal of 5104016214 is 4126104015.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104016213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3845619 + ... + 3846945.

It is an arithmetic number, because the mean of its divisors is an integer number (176160528).

Almost surely, 25104016214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5104016214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637136896).

5104016214 is an abundant number, since it is smaller than the sum of its proper divisors (6170257578).

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

5104016214 is a wasteful number, since it uses less digits than its factorization.

5104016214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5104016214 is about 71442.3978740915. The cubic root of 5104016214 is about 1721.7523395348.

It can be divided in two parts, 510401 and 6214, that added together give a palindrome (516615).

The spelling of 5104016214 in words is "five billion, one hundred four million, sixteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 577 606 1111 1154 1327 1731 2222 2654 3333 3462 3981 6347 6666 7962 12694 14597 19041 29194 38082 43791 58277 87582 116554 134027 174831 268054 349662 402081 641047 765679 804162 1282094 1474297 1531358 1923141 2297037 2948594 3846282 4422891 4594074 8422469 8845782 16844938 25267407 50534814 77333579 154667158 232000737 464001474 850669369 1701338738 2552008107 5104016214