Search a number
-
+
57594720121 = 1721927432
BaseRepresentation
bin110101101000111010…
…011010111101111001
312111122212121221001021
4311220322122331321
51420423222020441
642243022422441
74106152020631
oct655072327571
9174585557037
1057594720121
1122475799754
12b1b4431a21
13557b343263
142b0525b6c1
1517714d73d1
hexd68e9af79

57594720121 has 27 divisors (see below), whose sum is σ = 64658538831. Its totient is φ = 51284689344.

The previous prime is 57594720089. The next prime is 57594720133. The reversal of 57594720121 is 12102749575.

The square root of 57594720121 is 239989.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44840180025 + 12754540096 = 211755^2 + 112936^2 .

It is not a de Polignac number, because 57594720121 - 25 = 57594720089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57594720151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77516076 + ... + 77516818.

Almost surely, 257594720121 is an apocalyptic number.

57594720121 is the 239989-th square number.

57594720121 is the 119995-th centered octagonal number.

It is an amenable number.

57594720121 is a deficient number, since it is larger than the sum of its proper divisors (7063818710).

57594720121 is an frugal number, since it uses more digits than its factorization.

57594720121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 57594720121 in words is "fifty-seven billion, five hundred ninety-four million, seven hundred twenty thousand, one hundred twenty-one".

Divisors: 1 17 19 289 323 361 743 5491 6137 12631 14117 104329 214727 239989 268223 552049 4079813 4559791 9384833 10488931 77516447 159542161 178311827 199289689 3031301059 3387924713 57594720121