Search a number
-
+
5711581728 = 253344914723
BaseRepresentation
bin1010101000110111…
…11101001000100000
3112202001100102012000
411110123331020200
543144131103403
62342431004000
7261352433526
oct52433751040
915661312160
105711581728
112471047986
121134969600
137003c4778
143c27b2316
152366657a3
hex1546fd220

5711581728 has 96 divisors (see below), whose sum is σ = 16697016000. Its totient is φ = 1899491328.

The previous prime is 5711581721. The next prime is 5711581751. The reversal of 5711581728 is 8271851175.

5711581728 is a `hidden beast` number, since 57 + 11 + 581 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5711581721) 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, 380575 + ... + 395297.

It is an arithmetic number, because the mean of its divisors is an integer number (173927250).

Almost surely, 25711581728 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 5711581728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348508000).

5711581728 is an abundant number, since it is smaller than the sum of its proper divisors (10985434272).

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

5711581728 is a wasteful number, since it uses less digits than its factorization.

5711581728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15191 (or 15177 counting only the distinct ones).

The product of its digits is 156800, while the sum is 45.

The square root of 5711581728 is about 75575.0072973863. The cubic root of 5711581728 is about 1787.5250303633.

The spelling of 5711581728 in words is "five billion, seven hundred eleven million, five hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 449 864 898 1347 1796 2694 3592 4041 5388 7184 8082 10776 12123 14368 14723 16164 21552 24246 29446 32328 43104 44169 48492 58892 64656 88338 96984 117784 129312 132507 176676 193968 235568 265014 353352 387936 397521 471136 530028 706704 795042 1060056 1413408 1590084 2120112 3180168 4240224 6360336 6610627 12720672 13221254 19831881 26442508 39663762 52885016 59495643 79327524 105770032 118991286 158655048 178486929 211540064 237982572 317310096 356973858 475965144 634620192 713947716 951930288 1427895432 1903860576 2855790864 5711581728