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2021833716 = 2237296011381
BaseRepresentation
bin111100010000010…
…1011101111110100
312012220102210110020
41320200223233310
513120042134331
6532342525140
7101050205640
oct17040535764
95186383406
102021833716
119482aa661
124851367b0
13262b50316
1415273dc20
15bc776c96
hex7882bbf4

2021833716 has 96 divisors (see below), whose sum is σ = 5590798080. Its totient is φ = 556416000.

The previous prime is 2021833679. The next prime is 2021833721. The reversal of 2021833716 is 6173381202.

It is a congruent number.

It is an unprimeable number.

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, 1463346 + ... + 1464726.

It is an arithmetic number, because the mean of its divisors is an integer number (58237480).

Almost surely, 22021833716 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 2021833716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795399040).

2021833716 is an abundant number, since it is smaller than the sum of its proper divisors (3568964364).

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

2021833716 is a wasteful number, since it uses less digits than its factorization.

2021833716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2023 counting only the distinct ones).

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

The square root of 2021833716 is about 44964.8053037039. The cubic root of 2021833716 is about 1264.4892595699.

The spelling of 2021833716 in words is "two billion, twenty-one million, eight hundred thirty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 601 609 812 1202 1218 1381 1803 2404 2436 2762 3606 4143 4207 5524 7212 8286 8414 9667 12621 16572 16828 17429 19334 25242 29001 34858 38668 40049 50484 52287 58002 69716 80098 104574 116004 120147 122003 160196 209148 240294 244006 280343 366009 480588 488012 560686 732018 829981 841029 1121372 1464036 1659962 1682058 2489943 3319924 3364116 4979886 5809867 9959772 11619734 17429601 23239468 24069449 34859202 48138898 69718404 72208347 96277796 144416694 168486143 288833388 336972286 505458429 673944572 1010916858 2021833716