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57313341241 = 135383183369
BaseRepresentation
bin110101011000001001…
…000010111100111001
312110221021011101210021
4311120021002330321
51414334203404431
642155051450441
74066164235222
oct653011027471
9173837141707
1057313341241
1122340983622
12b136156a21
135534c65090
142ab9b34249
151756955b11
hexd58242f39

57313341241 has 8 divisors (see below), whose sum is σ = 62886627720. Its totient is φ = 51906421632.

The previous prime is 57313341209. The next prime is 57313341247. The reversal of 57313341241 is 14214331375.

It can be written as a sum of positive squares in 4 ways, for example, as 7303411600 + 50009929641 = 85460^2 + 223629^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 57313341241 - 25 = 57313341209 is a prime.

It is a super-2 number, since 2×573133412412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57313341197 and 57313341206.

It is not an unprimeable number, because it can be changed into a prime (57313341247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41590996 + ... + 41592373.

It is an arithmetic number, because the mean of its divisors is an integer number (7860828465).

Almost surely, 257313341241 is an apocalyptic number.

It is an amenable number.

57313341241 is a deficient number, since it is larger than the sum of its proper divisors (5573286479).

57313341241 is a wasteful number, since it uses less digits than its factorization.

57313341241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83183435.

The product of its digits is 30240, while the sum is 34.

The spelling of 57313341241 in words is "fifty-seven billion, three hundred thirteen million, three hundred forty-one thousand, two hundred forty-one".

Divisors: 1 13 53 689 83183369 1081383797 4408718557 57313341241