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2971042416 = 24361032473
BaseRepresentation
bin1011000100010110…
…1000001001110000
321200001112121000000
42301011220021300
522041041324131
61210451430000
7133424305146
oct26105501160
97601477000
102971042416
111295092161
126aabb5300
133846b5b84
14202829596
15125c73ce6
hexb1168270

2971042416 has 140 divisors (see below), whose sum is σ = 8717960368. Its totient is φ = 980335872.

The previous prime is 2971042351. The next prime is 2971042421. The reversal of 2971042416 is 6142401792.

It is a happy number.

It is a super-2 number, since 2×29710424162 = 17654186075342234112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1200156 + ... + 1202628.

Almost surely, 22971042416 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 2971042416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358980184).

2971042416 is an abundant number, since it is smaller than the sum of its proper divisors (5746917952).

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

2971042416 is a wasteful number, since it uses less digits than its factorization.

2971042416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2971042416 is about 54507.2693867524. The cubic root of 2971042416 is about 1437.5941075731.

The spelling of 2971042416 in words is "two billion, nine hundred seventy-one million, forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 103 108 144 162 206 216 243 309 324 412 432 486 618 648 729 824 927 972 1236 1296 1458 1648 1854 1944 2472 2473 2781 2916 3708 3888 4944 4946 5562 5832 7416 7419 8343 9892 11124 11664 14832 14838 16686 19784 22248 22257 25029 29676 33372 39568 44496 44514 50058 59352 66744 66771 75087 89028 100116 118704 133488 133542 150174 178056 200232 200313 254719 267084 300348 356112 400464 400626 509438 534168 600696 600939 764157 801252 1018876 1068336 1201392 1201878 1528314 1602504 1802817 2037752 2292471 2403756 3056628 3205008 3605634 4075504 4584942 4807512 6113256 6877413 7211268 9169884 9615024 12226512 13754826 14422536 18339768 20632239 27509652 28845072 36679536 41264478 55019304 61896717 82528956 110038608 123793434 165057912 185690151 247586868 330115824 371380302 495173736 742760604 990347472 1485521208 2971042416