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2981386716 = 2237119193511
BaseRepresentation
bin1011000110110100…
…0101100111011100
321200210000010201020
42301231011213130
522101213333331
61211501244140
7133611240360
oct26155054734
97623003636
102981386716
11129aa07a70
126b2563650
13386898369
14203d5d2a0
15126b18c96
hexb1b459dc

2981386716 has 96 divisors (see below), whose sum is σ = 8685035520. Its totient is φ = 773323200.

The previous prime is 2981386711. The next prime is 2981386721. The reversal of 2981386716 is 6176831892.

It is an interprime number because it is at equal distance from previous prime (2981386711) and next prime (2981386721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981386711) 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 31 ways as a sum of consecutive naturals, for example, 847401 + ... + 850911.

It is an arithmetic number, because the mean of its divisors is an integer number (90469120).

Almost surely, 22981386716 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 2981386716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342517760).

2981386716 is an abundant number, since it is smaller than the sum of its proper divisors (5703648804).

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

2981386716 is a wasteful number, since it uses less digits than its factorization.

2981386716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4453 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 2981386716 is about 54602.0761143750. The cubic root of 2981386716 is about 1439.2606022732.

The spelling of 2981386716 in words is "two billion, nine hundred eighty-one million, three hundred eighty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 919 924 1838 2757 3511 3676 5514 6433 7022 10109 10533 11028 12866 14044 19299 20218 21066 24577 25732 30327 38598 38621 40436 42132 49154 60654 70763 73731 77196 77242 98308 115863 121308 141526 147462 154484 212289 231726 270347 283052 294924 424578 463452 540694 811041 849156 1081388 1622082 3226609 3244164 6453218 9679827 12906436 19359654 22586263 35492699 38719308 45172526 67758789 70985398 90345052 106478097 135517578 141970796 212956194 248448893 271035156 425912388 496897786 745346679 993795572 1490693358 2981386716