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5985575349 = 3134712292657
BaseRepresentation
bin1011001001100010…
…01010000110110101
3120110010220201202220
411210301022012311
544224301402344
62425535352553
7301220356665
oct54461120665
916403821686
105985575349
1125a1779396
1211b0682759
137450b8280
1440ad361a5
15250738c19
hex164c4a1b5

5985575349 has 32 divisors (see below), whose sum is σ = 8787985920. Its totient is φ = 3600771072.

The previous prime is 5985575329. The next prime is 5985575371. The reversal of 5985575349 is 9435755895.

It is not a de Polignac number, because 5985575349 - 25 = 5985575317 is a prime.

It is a super-3 number, since 3×59855753493 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 5985575292 and 5985575301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5985575329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2251429 + ... + 2254085.

It is an arithmetic number, because the mean of its divisors is an integer number (274624560).

Almost surely, 25985575349 is an apocalyptic number.

It is an amenable number.

5985575349 is a deficient number, since it is larger than the sum of its proper divisors (2802410571).

5985575349 is a wasteful number, since it uses less digits than its factorization.

5985575349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949.

The product of its digits is 34020000, while the sum is 60.

The square root of 5985575349 is about 77366.5001728784. The cubic root of 5985575349 is about 1815.6632393079.

The spelling of 5985575349 in words is "five billion, nine hundred eighty-five million, five hundred seventy-five thousand, three hundred forty-nine".

Divisors: 1 3 13 39 47 141 611 1229 1833 2657 3687 7971 15977 34541 47931 57763 103623 124879 173289 374637 750919 1623427 2252757 3265453 4870281 9796359 42450889 127352667 153476291 460428873 1995191783 5985575349