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2816998380 = 2232578532621
BaseRepresentation
bin1010011111100111…
…1111101111101100
321021022200100022100
42213321333233230
521232122422010
61143310015100
7126544043160
oct24771775754
97238610270
102816998380
111216138639
126674a7490
1335b7cc361
141ca1aaca0
151174962c0
hexa7e7fbec

2816998380 has 144 divisors (see below), whose sum is σ = 9780773184. Its totient is φ = 642885120.

The previous prime is 2816998369. The next prime is 2816998391. The reversal of 2816998380 is 838996182.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2816998369) and next prime (2816998391).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073470 + ... + 1076090.

It is an arithmetic number, because the mean of its divisors is an integer number (67922036).

Almost surely, 22816998380 is an apocalyptic number.

2816998380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2816998380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890386592).

2816998380 is an abundant number, since it is smaller than the sum of its proper divisors (6963774804).

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

2816998380 is a wasteful number, since it uses less digits than its factorization.

2816998380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 2816998380 is about 53075.4027775579. The cubic root of 2816998380 is about 1412.3062002627.

The spelling of 2816998380 in words is "two billion, eight hundred sixteen million, nine hundred ninety-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 853 1260 1706 2559 2621 3412 4265 5118 5242 5971 7677 7863 8530 10236 10484 11942 12795 13105 15354 15726 17060 17913 18347 23589 23884 25590 26210 29855 30708 31452 35826 36694 38385 39315 47178 51180 52420 53739 55041 59710 71652 73388 76770 78630 89565 91735 94356 107478 110082 117945 119420 153540 157260 165123 179130 183470 214956 220164 235890 268695 275205 330246 358260 366940 471780 537390 550410 660492 825615 1074780 1100820 1651230 2235713 3302460 4471426 6707139 8942852 11178565 13414278 15649991 20121417 22357130 26828556 31299982 33535695 40242834 44714260 46949973 62599964 67071390 78249955 80485668 93899946 100607085 134142780 140849919 156499910 187799892 201214170 234749865 281699838 312999820 402428340 469499730 563399676 704249595 938999460 1408499190 2816998380