Search a number
-
+
57836710164 = 22329898232269
BaseRepresentation
bin110101110111010101…
…100010100100010100
312112021201222021222110
4311313111202210110
51421422144211124
642323025231020
74115150632152
oct656725424424
9175251867873
1057836710164
112258a351422
12b261492470
1355b950cb2c
142b294503d2
151787888029
hexd77562914

57836710164 has 96 divisors (see below), whose sum is σ = 141408288000. Its totient is φ = 18374501376.

The previous prime is 57836710159. The next prime is 57836710177. The reversal of 57836710164 is 46101763875.

57836710164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25488822 + ... + 25491090.

It is an arithmetic number, because the mean of its divisors is an integer number (1473003000).

Almost surely, 257836710164 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 57836710164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70704144000).

57836710164 is an abundant number, since it is smaller than the sum of its proper divisors (83571577836).

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

57836710164 is a wasteful number, since it uses less digits than its factorization.

57836710164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 57836710164 in words is "fifty-seven billion, eight hundred thirty-six million, seven hundred ten thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 89 116 174 178 267 348 356 534 823 1068 1646 2269 2469 2581 3292 4538 4938 5162 6807 7743 9076 9876 10324 13614 15486 23867 27228 30972 47734 65801 71601 73247 95468 131602 143202 146494 197403 201941 219741 263204 286404 292988 394806 403882 439482 605823 789612 807764 878964 1211646 1867387 2124163 2423292 3734774 4248326 5602161 5856289 6372489 7469548 8496652 11204322 11712578 12744978 17568867 22408644 23425156 25489956 35137734 54154223 70275468 108308446 162462669 166197443 216616892 324925338 332394886 498592329 649850676 664789772 997184658 1994369316 4819725847 9639451694 14459177541 19278903388 28918355082 57836710164