Search a number
-
+
5176061426592 = 2532759107406699
BaseRepresentation
bin100101101010010010101…
…0011010111101110100000
3200022211022121202021122200
41023110211103113232200
51134301033211122332
615001503315533200
71042646425124010
oct113244523275640
920284277667580
105176061426592
1117161788101a1
126b71a45ba200
132b713ca434b4
1413c74645bc40
158e99428a17c
hex4b5254d7ba0

5176061426592 has 288 divisors, whose sum is σ = 17267245632000. Its totient is φ = 1440218479104.

The previous prime is 5176061426539. The next prime is 5176061426621. The reversal of 5176061426592 is 2956241606715.

5176061426592 is a `hidden beast` number, since 5 + 1 + 7 + 6 + 0 + 6 + 1 + 42 + 6 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×51760614265922 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12523659 + ... + 12930357.

It is an arithmetic number, because the mean of its divisors is an integer number (59955714000).

Almost surely, 25176061426592 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 5176061426592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633622816000).

5176061426592 is an abundant number, since it is smaller than the sum of its proper divisors (12091184205408).

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

5176061426592 is a wasteful number, since it uses less digits than its factorization.

5176061426592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406888 (or 406877 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5176061426592 in words is "five trillion, one hundred seventy-six billion, sixty-one million, four hundred twenty-six thousand, five hundred ninety-two".