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2059263416 = 237223376173
BaseRepresentation
bin111101010111101…
…1101110110111000
312022111212102100102
41322233131312320
513204132412131
6540201054532
7102013310300
oct17257356670
95274772312
102059263416
119674450a1
12495787448
1326a826c82
141576c4600
15c0bbc1cb
hex7abdddb8

2059263416 has 96 divisors (see below), whose sum is σ = 4814238240. Its totient is φ = 821221632.

The previous prime is 2059263359. The next prime is 2059263433. The reversal of 2059263416 is 6143629502.

It is a self number, because there is not a number n which added to its sum of digits gives 2059263416.

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, 330506 + ... + 336678.

It is an arithmetic number, because the mean of its divisors is an integer number (50148315).

Almost surely, 22059263416 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 2059263416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407119120).

2059263416 is an abundant number, since it is smaller than the sum of its proper divisors (2754974824).

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

2059263416 is a wasteful number, since it uses less digits than its factorization.

2059263416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6242 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 2059263416 is about 45379.1077038762. The cubic root of 2059263416 is about 1272.2446541655.

The spelling of 2059263416 in words is "two billion, fifty-nine million, two hundred sixty-three thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 23 28 37 46 49 56 74 92 98 148 161 184 196 259 296 322 392 518 644 851 1036 1127 1288 1702 1813 2072 2254 3404 3626 4508 5957 6173 6808 7252 9016 11914 12346 14504 23828 24692 41699 43211 47656 49384 83398 86422 141979 166796 172844 228401 283958 302477 333592 345688 456802 567916 604954 913604 993853 1135832 1209908 1598807 1827208 1987706 2419816 3197614 3975412 5253223 6395228 6956971 7950824 10506446 11191649 12790456 13913942 21012892 22383298 27827884 36772561 42025784 44766596 55655768 73545122 89533192 147090244 257407927 294180488 514815854 1029631708 2059263416