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5142117537 = 329715737517
BaseRepresentation
bin1001100100111111…
…00111110010100001
3111021100210122011200
410302133213302201
541012340230122
62210125231413
7241266164214
oct46237476241
914240718150
105142117537
1121a9656017
12bb6102569
1363c42a9cb
1436acd777b
1520167a5ac
hex1327e7ca1

5142117537 has 24 divisors (see below), whose sum is σ = 7552073256. Its totient is φ = 3371037696.

The previous prime is 5142117527. The next prime is 5142117557. The reversal of 5142117537 is 7357112415.

5142117537 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 117 + 537 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 342953361 + 4799164176 = 18519^2 + 69276^2 .

It is a de Polignac number, because none of the positive numbers 2k-5142117537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5142117527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118303 + ... + 155819.

It is an arithmetic number, because the mean of its divisors is an integer number (314669719).

Almost surely, 25142117537 is an apocalyptic number.

It is an amenable number.

5142117537 is a deficient number, since it is larger than the sum of its proper divisors (2409955719).

5142117537 is a wasteful number, since it uses less digits than its factorization.

5142117537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37777 (or 37774 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 5142117537 is about 71708.5597191855. The cubic root of 5142117537 is about 1726.0259988332.

The spelling of 5142117537 in words is "five billion, one hundred forty-two million, one hundred seventeen thousand, five hundred thirty-seven".

Divisors: 1 3 9 97 157 291 471 873 1413 15229 37517 45687 112551 137061 337653 3639149 5890169 10917447 17670507 32752341 53011521 571346393 1714039179 5142117537