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616537141 = 11971394157
BaseRepresentation
bin100100101111111…
…001110000110101
31120222010022221221
4210233321300311
52230313142031
6141102310341
721164323243
oct4457716065
91528108857
10616537141
11297023530
121525883b1
139a968a9c
145bc4d793
15391d7a11
hex24bf9c35

616537141 has 16 divisors (see below), whose sum is σ = 684573120. Its totient is φ = 550586880.

The previous prime is 616537109. The next prime is 616537157. The reversal of 616537141 is 141735616.

It is a cyclic number.

It is not a de Polignac number, because 616537141 - 25 = 616537109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 616537097 and 616537106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616037141) 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 15 ways as a sum of consecutive naturals, for example, 146235 + ... + 150391.

It is an arithmetic number, because the mean of its divisors is an integer number (42785820).

Almost surely, 2616537141 is an apocalyptic number.

It is an amenable number.

616537141 is a deficient number, since it is larger than the sum of its proper divisors (68035979).

616537141 is a wasteful number, since it uses less digits than its factorization.

616537141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404.

The product of its digits is 15120, while the sum is 34.

The square root of 616537141 is about 24830.1659478949. The cubic root of 616537141 is about 851.1114139620. Note that the first 3 decimals are identical.

The spelling of 616537141 in words is "six hundred sixteen million, five hundred thirty-seven thousand, one hundred forty-one".

Divisors: 1 11 97 139 1067 1529 4157 13483 45727 148313 403229 577823 4435519 6356053 56048831 616537141