Search a number
-
+
5181249936 = 2431711535507
BaseRepresentation
bin1001101001101001…
…11001100110010000
3111101002102202201210
410310310321212100
541102344444221
62214044100120
7242252616642
oct46464714620
914332382653
105181249936
112219753845
121007234640
1364757c685
143721a2892
15204d0a276
hex134d39990

5181249936 has 80 divisors (see below), whose sum is σ = 14187109824. Its totient is φ = 1623785472.

The previous prime is 5181249907. The next prime is 5181249937. The reversal of 5181249936 is 6399421815.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5181249937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938095 + ... + 943601.

Almost surely, 25181249936 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 5181249936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7093554912).

5181249936 is an abundant number, since it is smaller than the sum of its proper divisors (9005859888).

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

5181249936 is a wasteful number, since it uses less digits than its factorization.

5181249936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688 (or 6682 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 5181249936 is about 71980.8997998775. The cubic root of 5181249936 is about 1730.3933902186.

The spelling of 5181249936 in words is "five billion, one hundred eighty-one million, two hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1153 2306 3459 4612 5507 6918 9224 11014 13836 16521 18448 19601 22028 27672 33042 39202 44056 55344 58803 66084 78404 88112 93619 117606 132168 156808 187238 235212 264336 280857 313616 374476 470424 561714 748952 940848 1123428 1497904 2246856 4493712 6349571 12699142 19048713 25398284 38097426 50796568 76194852 101593136 107942707 152389704 215885414 304779408 323828121 431770828 647656242 863541656 1295312484 1727083312 2590624968 5181249936