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5735065741457 = 131729698740493
BaseRepresentation
bin101001101110100110010…
…0011100110100010010001
3202022021012120222202102012
41103131030203212202101
51222430403312211312
620110353002232305
71131226163321063
oct123351443464221
922267176882365
105735065741457
111911256109778
127875b1ab5695
13327a78262240
1415b815bcb733
159e2aeee3322
hex5374c8e6891

5735065741457 has 16 divisors (see below), whose sum is σ = 6541735329360. Its totient is φ = 4980821809152.

The previous prime is 5735065741411. The next prime is 5735065741469. The reversal of 5735065741457 is 7541475605375.

It can be written as a sum of positive squares in 8 ways, for example, as 2896518071056 + 2838547670401 = 1701916^2 + 1684799^2 .

It is a cyclic number.

It is not a de Polignac number, because 5735065741457 - 210 = 5735065740433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5735065741396 and 5735065741405.

It is not an unprimeable number, because it can be changed into a prime (5735085741457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3714098 + ... + 5026395.

It is an arithmetic number, because the mean of its divisors is an integer number (408858458085).

Almost surely, 25735065741457 is an apocalyptic number.

It is an amenable number.

5735065741457 is a deficient number, since it is larger than the sum of its proper divisors (806669587903).

5735065741457 is a wasteful number, since it uses less digits than its factorization.

5735065741457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743492.

The product of its (nonzero) digits is 61740000, while the sum is 59.

The spelling of 5735065741457 in words is "five trillion, seven hundred thirty-five billion, sixty-five million, seven hundred forty-one thousand, four hundred fifty-seven".

Divisors: 1 13 17 221 2969 38597 50473 656149 8740493 113626409 148588381 1931648953 25950523717 337356808321 441158903189 5735065741457