Search a number
-
+
5718234142368 = 2532112592781199
BaseRepresentation
bin101001100110110000101…
…0100001001011010100000
3202020122202120100221010100
41103031201110021122200
51222141420420023433
620054530454502400
71130062113145446
oct123154124113240
922218676327110
105718234142368
1119050a9110200
12784295064a00
133262c5111357
1415aa9a626b96
159db274d2b13
hex533615096a0

5718234142368 has 216 divisors, whose sum is σ = 18176866344000. Its totient is φ = 1703428151040.

The previous prime is 5718234142297. The next prime is 5718234142393. The reversal of 5718234142368 is 8632414328175.

5718234142368 is a `hidden beast` number, since 5 + 7 + 1 + 8 + 234 + 1 + 42 + 368 = 666.

It is a super-3 number, since 3×57182341423683 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 665433 + ... + 3446631.

It is an arithmetic number, because the mean of its divisors is an integer number (84152159000).

Almost surely, 25718234142368 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 5718234142368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088433172000).

5718234142368 is an abundant number, since it is smaller than the sum of its proper divisors (12458632201632).

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

5718234142368 is a wasteful number, since it uses less digits than its factorization.

5718234142368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781296 (or 2781274 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 5718234142368 in words is "five trillion, seven hundred eighteen billion, two hundred thirty-four million, one hundred forty-two thousand, three hundred sixty-eight".