Search a number
-
+
3116704416 = 253714873119
BaseRepresentation
bin1011100111000101…
…0010001010100000
322001012121222200220
42321301102022200
522340334020131
61233133443040
7140143356540
oct27161221240
98035558626
103116704416
11135a331181
1272b940480
133a89263c7
14217d05320
15133947e96
hexb9c522a0

3116704416 has 96 divisors (see below), whose sum is σ = 9359400960. Its totient is φ = 889602816.

The previous prime is 3116704351. The next prime is 3116704417. The reversal of 3116704416 is 6144076113.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3116704417) 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 15 ways as a sum of consecutive naturals, for example, 997705 + ... + 1000823.

It is an arithmetic number, because the mean of its divisors is an integer number (97493760).

Almost surely, 23116704416 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 3116704416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

3116704416 is an abundant number, since it is smaller than the sum of its proper divisors (6242696544).

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

3116704416 is a wasteful number, since it uses less digits than its factorization.

3116704416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3116704416 is about 55827.4521718482. The cubic root of 3116704416 is about 1460.7140461689.

The spelling of 3116704416 in words is "three billion, one hundred sixteen million, seven hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1487 2974 3119 4461 5948 6238 8922 9357 10409 11896 12476 17844 18714 20818 21833 23792 24952 31227 35688 37428 41636 43666 47584 49904 62454 65499 71376 74856 83272 87332 99808 124908 130998 142752 149712 166544 174664 249816 261996 299424 333088 349328 499632 523992 698656 999264 1047984 2095968 4637953 9275906 13913859 18551812 27827718 32465671 37103624 55655436 64931342 74207248 97397013 111310872 129862684 148414496 194794026 222621744 259725368 389588052 445243488 519450736 779176104 1038901472 1558352208 3116704416