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4199312985 = 357516657
BaseRepresentation
bin1111101001001100…
…0110111001011001
3101211122202012110120
43322103012321121
532100011003420
61532405503453
7206030400000
oct37223067131
911748665416
104199312985
111865447aaa
12992411b89
1351bcc80aa
142bb9d7c37
151989e5d40
hexfa4c6e59

4199312985 has 48 divisors (see below), whose sum is σ = 7839121536. Its totient is φ = 1919570688.

The previous prime is 4199312981. The next prime is 4199312993. The reversal of 4199312985 is 5892139914.

It is not a de Polignac number, because 4199312985 - 22 = 4199312981 is a prime.

It is a super-2 number, since 2×41993129852 = 35268459091979220450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4199312981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243777 + ... + 260433.

It is an arithmetic number, because the mean of its divisors is an integer number (163315032).

Almost surely, 24199312985 is an apocalyptic number.

It is an amenable number.

4199312985 is a deficient number, since it is larger than the sum of its proper divisors (3639808551).

4199312985 is an frugal number, since it uses more digits than its factorization.

4199312985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16700 (or 16672 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 4199312985 is about 64802.1063315075. The cubic root of 4199312985 is about 1613.3406690305.

The spelling of 4199312985 in words is "four billion, one hundred ninety-nine million, three hundred twelve thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 343 735 1029 1715 2401 5145 7203 12005 16657 16807 36015 49971 50421 83285 84035 116599 249855 252105 349797 582995 816193 1748985 2448579 4080965 5713351 12242895 17140053 28566755 39993457 85700265 119980371 199967285 279954199 599901855 839862597 1399770995 4199312985