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2816876112 = 243735211543
BaseRepresentation
bin1010011111100110…
…0001111001010000
321021022110010120220
42213321201321100
521232110013422
61143303233040
7126543023541
oct24771417120
97238403526
102816876112
111216064796
12667448780
1335b7887cb
141ca1784c8
1511746ee5c
hexa7e61e50

2816876112 has 80 divisors (see below), whose sum is σ = 7395562368. Its totient is φ = 923719680.

The previous prime is 2816876087. The next prime is 2816876113. The reversal of 2816876112 is 2116786182.

2816876112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816876113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1824813 + ... + 1826355.

Almost surely, 22816876112 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 2816876112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697781184).

2816876112 is an abundant number, since it is smaller than the sum of its proper divisors (4578686256).

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

2816876112 is a wasteful number, since it uses less digits than its factorization.

2816876112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2142 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 2816876112 is about 53074.2509320669. The cubic root of 2816876112 is about 1412.2857668877.

The spelling of 2816876112 in words is "two billion, eight hundred sixteen million, eight hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 521 584 876 1042 1168 1543 1563 1752 2084 3086 3126 3504 4168 4629 6172 6252 8336 9258 12344 12504 18516 24688 25008 37032 38033 74064 76066 112639 114099 152132 225278 228198 304264 337917 450556 456396 608528 675834 803903 901112 912792 1351668 1607806 1802224 1825584 2411709 2703336 3215612 4823418 5406672 6431224 9646836 12862448 19293672 38587344 58684919 117369838 176054757 234739676 352109514 469479352 704219028 938958704 1408438056 2816876112