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57464240089 = 1725922392
BaseRepresentation
bin110101100001001000…
…101011011111011001
312111022210002212002111
4311201020223133121
51420141321140324
642222042032321
74103005660444
oct654110533731
9174283085074
1057464240089
112240907a113
12b1787a86a1
13555a2ba139
142ad1bb465b
151764d11794
hexd6122b7d9

57464240089 has 27 divisors (see below), whose sum is σ = 62356397407. Its totient is φ = 52944855488.

The previous prime is 57464240081. The next prime is 57464240117. The reversal of 57464240089 is 98004246475.

The square root of 57464240089 is 239717.

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., 44738595225 + 12725644864 = 211515^2 + 112808^2 .

It is not a de Polignac number, because 57464240089 - 23 = 57464240081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57464240081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 240436032 + ... + 240436270.

Almost surely, 257464240089 is an apocalyptic number.

57464240089 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

57464240089 is the 239717-th square number.

57464240089 is the 119859-th centered octagonal number.

It is an amenable number.

57464240089 is a deficient number, since it is larger than the sum of its proper divisors (4892157318).

57464240089 is an frugal number, since it uses more digits than its factorization.

57464240089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 57464240089 by its sum of digits (49), we get a square (2815747764361 = 16780192).

The spelling of 57464240089 in words is "fifty-seven billion, four hundred sixty-four million, two hundred forty thousand, eighty-nine".

Divisors: 1 17 59 239 289 1003 3481 4063 14101 17051 57121 59177 69071 239717 831959 971057 1006009 3370139 4075189 14143303 16507969 57292363 198838201 240436151 973970171 3380249417 57464240089