Search a number
-
+
57395459375 = 55431014229
BaseRepresentation
bin110101011101000010…
…010011010100101111
312111010222200102200122
4311131002103110233
51420021214200000
642211143515155
74101212232542
oct653502232457
9174128612618
1057395459375
1122383271151
12b159758abb
135548c875a7
142ac69cc859
15175dc77085
hexd5d09352f

57395459375 has 48 divisors (see below), whose sum is σ = 74152441440. Its totient is φ = 44394000000.

The previous prime is 57395459371. The next prime is 57395459393.

57395459375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57395459375 - 22 = 57395459371 is a prime.

It is a super-3 number, since 3×573954593753 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57395459371) 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 47 ways as a sum of consecutive naturals, for example, 13569761 + ... + 13573989.

It is an arithmetic number, because the mean of its divisors is an integer number (1544842530).

Almost surely, 257395459375 is an apocalyptic number.

57395459375 is a deficient number, since it is larger than the sum of its proper divisors (16756982065).

57395459375 is an equidigital number, since it uses as much as digits as its factorization.

57395459375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4378 counting only the distinct ones).

The product of its digits is 89302500, while the sum is 62.

The spelling of 57395459375 in words is "fifty-seven billion, three hundred ninety-five million, four hundred fifty-nine thousand, three hundred seventy-five".

Divisors: 1 5 25 43 101 125 215 505 625 1075 2525 3125 4229 4343 5375 12625 21145 21715 26875 63125 105725 108575 134375 181847 315625 427129 528625 542875 909235 2135645 2643125 2714375 4546175 10678225 13215625 13571875 18366547 22730875 53391125 91832735 113654375 266955625 459163675 568271875 1334778125 2295818375 11479091875 57395459375