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2985308712 = 2332431019547
BaseRepresentation
bin1011000111110000…
…0011001000101000
321201001101101200100
42301330003020220
522103214334322
61212121305400
7133656463641
oct26174031050
97631341610
102985308712
1112a2146691
126b3935260
1338763c579
142046a06c8
15127140dac
hexb1f03228

2985308712 has 96 divisors (see below), whose sum is σ = 8356027680. Its totient is φ = 962236800.

The previous prime is 2985308663. The next prime is 2985308719. The reversal of 2985308712 is 2178035892.

It is a happy number.

2985308712 is a `hidden beast` number, since 29 + 8 + 530 + 87 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (2985308719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307923 + ... + 317469.

It is an arithmetic number, because the mean of its divisors is an integer number (87041955).

Almost surely, 22985308712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985308712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178013840).

2985308712 is an abundant number, since it is smaller than the sum of its proper divisors (5370718968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2985308712 is a wasteful number, since it uses less digits than its factorization.

2985308712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2985308712 is about 54637.9786595368. The cubic root of 2985308712 is about 1439.8914385750.

The spelling of 2985308712 in words is "two billion, nine hundred eighty-five million, three hundred eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 101 129 172 202 258 303 344 387 404 516 606 774 808 909 1032 1212 1548 1818 2424 3096 3636 4343 7272 8686 9547 13029 17372 19094 26058 28641 34744 38188 39087 52116 57282 76376 78174 85923 104232 114564 156348 171846 229128 312696 343692 410521 687384 821042 964247 1231563 1642084 1928494 2463126 2892741 3284168 3694689 3856988 4926252 5785482 7389378 7713976 8678223 9852504 11570964 14778756 17356446 23141928 29557512 34712892 41462621 69425784 82925242 124387863 165850484 248775726 331700968 373163589 497551452 746327178 995102904 1492654356 2985308712