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2059282512 = 2432714913711
BaseRepresentation
bin111101010111110…
…0010100001010000
312022111220101112200
41322233202201100
513204134020022
6540201323200
7102013420050
oct17257424120
95274811480
102059282512
11967458481
12495796500
1326a832881
141576cb560
15c0bc2bac
hex7abe2850

2059282512 has 120 divisors (see below), whose sum is σ = 6631123200. Its totient is φ = 584375040.

The previous prime is 2059282429. The next prime is 2059282543. The reversal of 2059282512 is 2152829502.

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 23 ways as a sum of consecutive naturals, for example, 143337 + ... + 157047.

It is an arithmetic number, because the mean of its divisors is an integer number (55259360).

Almost surely, 22059282512 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 2059282512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315561600).

2059282512 is an abundant number, since it is smaller than the sum of its proper divisors (4571840688).

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

2059282512 is a wasteful number, since it uses less digits than its factorization.

2059282512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13881 (or 13872 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2059282512 is about 45379.3181085833. The cubic root of 2059282512 is about 1272.2485867544.

The spelling of 2059282512 in words is "two billion, fifty-nine million, two hundred eighty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 149 168 252 298 336 447 504 596 894 1008 1043 1192 1341 1788 2086 2384 2682 3129 3576 4172 5364 6258 7152 8344 9387 10728 12516 13711 16688 18774 21456 25032 27422 37548 41133 50064 54844 75096 82266 95977 109688 123399 150192 164532 191954 219376 246798 287931 329064 383908 493596 575862 658128 767816 863793 987192 1151724 1535632 1727586 1974384 2042939 2303448 3455172 4085878 4606896 6128817 6910344 8171756 12257634 13820688 14300573 16343512 18386451 24515268 28601146 32687024 36772902 42901719 49030536 57202292 73545804 85803438 98061072 114404584 128705157 147091608 171606876 228809168 257410314 294183216 343213752 514820628 686427504 1029641256 2059282512